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100014211210212 = 223213433493546373
BaseRepresentation
bin10110101111011001011111…
…100010000001101111100100
3111010010021011100012210210200
4112233121133202001233210
5101102113101032211322
6552413521102150500
730031534250345055
oct2657313742015744
9433107140183720
10100014211210212
112995a874954802
12b273510b82430
1343a63b8435780
141a9a9dc38872c
15b868ec2238ac
hex5af65f881be4

100014211210212 has 72 divisors (see below), whose sum is σ = 272889686926584. Its totient is φ = 30702532709376.

The previous prime is 100014211210183. The next prime is 100014211210271. The reversal of 100014211210212 is 212012112410001.

100014211210212 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 421 + 1 + 21 + 0 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6157177225956 + 93857033984256 = 2481366^2 + 9687984^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246570543 + ... + 246975830.

It is an arithmetic number, because the mean of its divisors is an integer number (3790134540647).

Almost surely, 2100014211210212 is an apocalyptic number.

100014211210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100014211210212 is an abundant number, since it is smaller than the sum of its proper divisors (172875475716372).

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

100014211210212 is a wasteful number, since it uses less digits than its factorization.

100014211210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493546829 (or 493546824 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100014211210212 its reverse (212012112410001), we get a palindrome (312026323620213).

The spelling of 100014211210212 in words is "one hundred trillion, fourteen billion, two hundred eleven million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 433 468 866 1299 1732 2598 3897 5196 5629 7794 11258 15588 16887 22516 33774 50661 67548 101322 202644 493546373 987092746 1480639119 1974185492 2961278238 4441917357 5922556476 6416102849 8883834714 12832205698 17767669428 19248308547 25664411396 38496617094 57744925641 76993234188 115489851282 213705579509 230979702564 427411159018 641116738527 854822318036 1282233477054 1923350215581 2564466954108 2778172533617 3846700431162 5556345067234 7693400862324 8334517600851 11112690134468 16669035201702 25003552802553 33338070403404 50007105605106 100014211210212