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100102010220012 = 223374213547150979
BaseRepresentation
bin10110110000101011010000…
…110000101010110111101100
3111010102122210012112121222110
4112300223100300222313230
5101110032404104020022
6552522121215444020
730041063062536423
oct2660532060526754
9433378705477873
10100102010220012
112999402a12a329
12b288534826610
1343b176b26a788
141aa0d6ac2c2ba
15b88d3a23a00c
hex5b0ad0c2adec

100102010220012 has 96 divisors (see below), whose sum is σ = 240523276376320. Its totient is φ = 32379055914240.

The previous prime is 100102010219989. The next prime is 100102010220013. The reversal of 100102010220012 is 210022010201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100102010220012.

It is not an unprimeable number, because it can be changed into a prime (100102010220013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662943939 + ... + 663094917.

Almost surely, 2100102010220012 is an apocalyptic number.

100102010220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102010220012 is an abundant number, since it is smaller than the sum of its proper divisors (140421266156308).

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

100102010220012 is a wasteful number, since it uses less digits than its factorization.

100102010220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154991 (or 154989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102010220012 its reverse (210022010201001), we get a palindrome (310124020421013).

The spelling of 100102010220012 in words is "one hundred trillion, one hundred two billion, ten million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 421 444 842 1263 1684 2526 3547 5052 7094 10641 14188 15577 21282 31154 42564 46731 62308 93462 131239 150979 186924 262478 301958 393717 452937 524956 603916 787434 905874 1493287 1574868 1811748 2986574 4479861 5586223 5973148 8959722 11172446 16758669 17919444 22344892 33517338 55251619 63562159 67034676 110503238 127124318 165754857 190686477 221006476 254248636 331509714 381372954 535522513 663019428 762745908 1071045026 1606567539 2142090052 2351799883 3213135078 4703599766 6426270156 7055399649 9407199532 14110799298 19814332981 28221598596 39628665962 59442998943 79257331924 118885997886 225454977973 237771995772 450909955946 676364933919 901819911892 1352729867838 2705459735676 8341834185001 16683668370002 25025502555003 33367336740004 50051005110006 100102010220012