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100441044012 = 223611091637723
BaseRepresentation
bin101110110001011000…
…0001011010000101100
3100121020220112200220010
41131202300023100230
53121200401402022
6114050400053220
710154010534051
oct1354260132054
9317226480803
10100441044012
1139662394a91
1217571604210
139618cc1b2a
144c0b86b028
15292cd0950c
hex1762c0b42c

100441044012 has 96 divisors (see below), whose sum is σ = 241895906560. Its totient is φ = 32424986880.

The previous prime is 100441043957. The next prime is 100441044013. The reversal of 100441044012 is 210440144001.

It is a super-2 number, since 2×1004410440122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100441044012.

It is not an unprimeable number, because it can be changed into a prime (100441044013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13001583 + ... + 13009305.

Almost surely, 2100441044012 is an apocalyptic number.

100441044012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100441044012 is an abundant number, since it is smaller than the sum of its proper divisors (141454862548).

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

100441044012 is a wasteful number, since it uses less digits than its factorization.

100441044012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100441044012 its reverse (210440144001), we get a palindrome (310881188013).

The spelling of 100441044012 in words is "one hundred billion, four hundred forty-one million, forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 61 109 122 163 183 218 244 326 327 366 436 489 652 654 732 978 1308 1956 6649 7723 9943 13298 15446 17767 19886 19947 23169 26596 29829 30892 35534 39772 39894 46338 53301 59658 71068 79788 92676 106602 119316 213204 471103 841807 942206 1083787 1258849 1413309 1683614 1884412 2167574 2517698 2525421 2826618 3251361 3367228 3776547 4335148 5035396 5050842 5653236 6502722 7553094 10101684 13005444 15106188 51350227 76789789 102700454 137214541 153579578 154050681 205400908 230369367 274429082 307159156 308101362 411643623 460738734 548858164 616202724 823287246 921477468 1646574492 8370087001 16740174002 25110261003 33480348004 50220522006 100441044012