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110010001001100 = 22352379910810901
BaseRepresentation
bin11001000000110110110011…
…000010000000101010001100
3112102111212001010012021111020
4121000312303002000222030
5103404400440224013400
61025545521411554140
732112650243601264
oct3100666302005214
9472455033167436
10110010001001100
1132063a85679362
12104088128bb950
13494cb8b24c4a5
141d247262847a4
15cab92c71c2a0
hex640db3080a8c

110010001001100 has 72 divisors (see below), whose sum is σ = 326898186791568. Its totient is φ = 28543135392000.

The previous prime is 110010001001099. The next prime is 110010001001161. The reversal of 110010001001100 is 1100100010011.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4955394351 + ... + 4955416550.

Almost surely, 2110010001001100 is an apocalyptic number.

110010001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010001001100 is an abundant number, since it is smaller than the sum of its proper divisors (216888185790468).

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

110010001001100 is a wasteful number, since it uses less digits than its factorization.

110010001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910810955 (or 9910810948 counting only the distinct ones).

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

Adding to 110010001001100 its reverse (1100100010011), we get a palindrome (111110101011111).

110010001001100 divided by its reverse (1100100010011) gives a square (100 = 102).

The spelling of 110010001001100 in words is "one hundred ten trillion, ten billion, one million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 9910810901 19821621802 29732432703 39643243604 49554054505 59464865406 99108109010 118929730812 148662163515 198216218020 247770272525 297324327030 366700003337 495540545050 594648654060 733400006674 743310817575 991081090100 1100100010011 1466800013348 1486621635150 1833500016685 2200200020022 2973243270300 3667000033370 4400400040044 5500500050055 7334000066740 9167500083425 11001000100110 18335000166850 22002000200220 27502500250275 36670000333700 55005000500550 110010001001100