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110001001001100 = 223521183873974441
BaseRepresentation
bin11001000000101110011010…
…100101101111000010001100
3112102110222210220002220110220
4121000232122211233002030
5103404224022224013400
61025541432350431340
732112211231060236
oct3100563245570214
9472428726086426
10110001001001100
1132060187388130
1210406b20802550
13494c08579c1c1
141d24110c6d256
15cab5a25407a0
hex640b9a96f08c

110001001001100 has 144 divisors (see below), whose sum is σ = 347244644670336. Its totient is φ = 26663723072000.

The previous prime is 110001001001081. The next prime is 110001001001113. The reversal of 110001001001100 is 1100100100011.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25689880 + ... + 29664320.

It is an arithmetic number, because the mean of its divisors is an integer number (2411421143544).

Almost surely, 2110001001001100 is an apocalyptic number.

110001001001100 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 110001001001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173622322335168).

110001001001100 is an abundant number, since it is smaller than the sum of its proper divisors (237243643669236).

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

110001001001100 is a wasteful number, since it uses less digits than its factorization.

110001001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982856 (or 3982849 counting only the distinct ones).

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

Adding to 110001001001100 its reverse (1100100100011), we get a palindrome (111101101101111).

The spelling of 110001001001100 in words is "one hundred ten trillion, one billion, one million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 8387 16774 25161 33548 41935 50322 83870 92257 100644 125805 167740 184514 209675 251610 276771 369028 419350 461285 503220 553542 629025 838700 922570 1107084 1258050 1383855 1845140 2306425 2516100 2767710 3974441 4612850 5535420 6919275 7948882 9225700 11923323 13838550 15897764 19872205 23846646 27677100 39744410 43718851 47693292 59616615 79488820 87437702 99361025 119233230 131156553 174875404 198722050 218594255 238466460 262313106 298083075 397444100 437188510 524626212 596166150 655782765 874377020 1092971275 1192332300 1311565530 2185942550 2623131060 3278913825 4371885100 6557827650 13115655300 33333636667 66667273334 100000910001 133334546668 166668183335 200001820002 333336366670 366670003337 400003640004 500004550005 666672733340 733340006674 833340916675 1000009100010 1100010010011 1466680013348 1666681833350 1833350016685 2000018200020 2200020020022 2500022750025 3333363666700 3666700033370 4400040040044 5000045500050 5500050050055 7333400066740 9166750083425 10000091000100 11000100100110 18333500166850 22000200200220 27500250250275 36667000333700 55000500500550 110001001001100