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110001101000100 = 22 ⋅ 3 ⋅ 52 ⋅ 53 ⋅ 401 ⋅ 17252639
BaseRepresentation
bin11001000000101110100000…
……100011001100110110100100
3112102111000001212021101022120
4121000232200203030312210
5103404224223324000400
61025541450322025540
732112213554046432
oct3100564043146644
9472430055241276
10110001101000100
1132060228878932
1210406b4a1a82b0
13494c0a04123cb
141d2412025dd52
15cab5ab1e4ca0
hex640ba08ccda4

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(max 15 digits)

110001101000100 has 144 divisors (see below), whose sum is σ = 325083628316160. Its totient is φ = 28708389632000.

The previous prime is 110001101000093. The next prime is 110001101000101. The reversal of 110001101000100 is 1000101100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (110001101000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2250420 + ... + 15002219.

It is an arithmetic number, because the mean of its divisors is an integer number (2257525196640).

Almost surely, 2110001101000100 is an apocalyptic number.

110001101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001101000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162541814158080).

110001101000100 is an abundant number, since it is smaller than the sum of its proper divisors (215082527316060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110001101000100 is a wasteful number, since it uses less digits than its factorization.

110001101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253110 (or 17253103 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110001101000100 its reverse (1000101100011), we get a palindrome (111001202100111).

The spelling of 110001101000100 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 401 530 636 795 802 1060 1203 1325 1590 1604 2005 2406 2650 3180 3975 4010 4812 5300 6015 7950 8020 10025 12030 15900 20050 21253 24060 30075 40100 42506 60150 63759 85012 106265 120300 127518 212530 255036 318795 425060 531325 637590 1062650 1275180 1593975 2125300 3187950 6375900 17252639 34505278 51757917 69010556 86263195 103515834 172526390 207031668 258789585 345052780 431315975 517579170 862631950 914389867 1035158340 1293947925 1725263900 1828779734 2587895850 2743169601 3657559468 4571949335 5175791700 5486339202 6918308239 9143898670 10972678404 13715848005 13836616478 18287797340 20754924717 22859746675 27431696010 27673232956 34591541195 41509849434 45719493350 54863392020 68579240025 69183082390 83019698868 91438986700 103774623585 137158480050 138366164780 172957705975 207549247170 274316960100 345915411950 366670336667 415098494340 518873117925 691830823900 733340673334 1037746235850 1100011010001 1466681346668 1833351683335 2075492471700 2200022020002 3666703366670 4400044040004 5500055050005 7333406733340 9166758416675 11000110100010 18333516833350 22000220200020 27500275250025 36667033666700 55000550500050 110001101000100