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201212101212102 = 232791011619865339
BaseRepresentation
bin101101110000000001010111…
…110100010011011111000110
3222101102200121021220102210200
4231300001113310103133012
5202333124340402241402
61551535321353031330
760245044304525361
oct5560012764233706
9871380537812720
10201212101212102
1159126633600182
121a6983056b5546
1388372b1987806
143798a093950d8
15183dec633e21c
hexb70057d137c6

201212101212102 has 96 divisors (see below), whose sum is σ = 446124998592000. Its totient is φ = 65525470171200.

The previous prime is 201212101212061. The next prime is 201212101212173.

201212101212102 is a `hidden beast` number, since 2 + 0 + 121 + 210 + 121 + 210 + 2 = 666.

201212101212102 is nontrivially palindromic in base 10.

201212101212102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 232091349 + ... + 232956687.

It is an arithmetic number, because the mean of its divisors is an integer number (4647135402000).

Almost surely, 2201212101212102 is an apocalyptic number.

201212101212102 is an abundant number, since it is smaller than the sum of its proper divisors (244912897379898).

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

201212101212102 is a wasteful number, since it uses less digits than its factorization.

201212101212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867146 (or 867143 counting only the distinct ones).

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

It can be divided in two parts, 20121210 and 1212102, that added together give a palindrome (21333312).

The spelling of 201212101212102 in words is "two hundred one trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 79 101 158 202 237 303 474 606 711 909 1422 1619 1818 3238 4857 7979 9714 14571 15958 23937 29142 47874 71811 127901 143622 163519 255802 327038 383703 490557 767406 865339 981114 1151109 1471671 1730678 2302218 2596017 2943342 5192034 7788051 12918001 15576102 25836002 38754003 68361781 77508006 87399239 116262009 136723562 174798478 205085343 232524018 262197717 410170686 524395434 615256029 786593151 1230512058 1400983841 1573186302 2801967682 4202951523 6904539881 8405903046 12608854569 13809079762 20713619643 25217709138 41427239286 62140858929 110677723439 124281717858 141499367941 221355446878 282998735882 332033170317 424498103823 664066340634 848996207646 996099510951 1273494311469 1992199021902 2546988622938 11178450067339 22356900134678 33535350202017 67070700404034 100606050606051 201212101212102