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102102221011112 = 23719107647891439
BaseRepresentation
bin10111001101110010000110…
…100111010011100010101000
3111101111212200100000202222022
4113031302012213103202220
5101340320322034323422
61001053040210444012
730335433134665010
oct2715620647234250
9441455610022868
10102102221011112
112a595343a63633
12b550117293608
1344c8276396aba
141b2dab96acc40
15bc0da69a4342
hex5cdc869d38a8

102102221011112 has 64 divisors (see below), whose sum is σ = 230308159488000. Its totient is φ = 41454605497536.

The previous prime is 102102221011099. The next prime is 102102221011117. The reversal of 102102221011112 is 211110122201201.

102102221011112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102102221011117) 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 15 ways as a sum of consecutive naturals, for example, 114090689 + ... + 114982127.

It is an arithmetic number, because the mean of its divisors is an integer number (3598564992000).

Almost surely, 2102102221011112 is an apocalyptic number.

It is an amenable number.

102102221011112 is an abundant number, since it is smaller than the sum of its proper divisors (128205938476888).

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

102102221011112 is a wasteful number, since it uses less digits than its factorization.

102102221011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999118 (or 999114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102102221011112 its reverse (211110122201201), we get a palindrome (313212343212313).

The spelling of 102102221011112 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-one million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 107647 215294 430588 753529 861176 891439 1507058 1782878 2045293 3014116 3565756 4090586 6028232 6240073 7131512 8181172 12480146 14317051 16362344 16937341 24960292 28634102 33874682 49920584 57268204 67749364 114536408 118561387 135498728 237122774 474245548 948491096 95960734033 191921468066 383842936132 671725138231 767685872264 1343450276462 1823253946627 2686900552924 3646507893254 5373801105848 7293015786508 12762777626389 14586031573016 25525555252778 51051110505556 102102221011112