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102212131001032 = 23132399914149517
BaseRepresentation
bin10111001111011000011101…
…110000101001001011001000
3111101220101101011001202201201
4113033120131300221023020
5101344120421014013112
61001215334343153544
730346403614331263
oct2717303560511310
9441811334052651
10102212131001032
112a627a15315848
12b56948ba458b4
13450574103a2b0
141b35144941cda
15bc3b8ac1c257
hex5cf61dc292c8

102212131001032 has 64 divisors (see below), whose sum is σ = 207462621542400. Its totient is φ = 46930030076160.

The previous prime is 102212131001011. The next prime is 102212131001047. The reversal of 102212131001032 is 230100131212201.

It is an unprimeable number.

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, 22557538 + ... + 26707054.

It is an arithmetic number, because the mean of its divisors is an integer number (3241603461600).

Almost surely, 2102212131001032 is an apocalyptic number.

It is an amenable number.

102212131001032 is an abundant number, since it is smaller than the sum of its proper divisors (105250490541368).

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

102212131001032 is a wasteful number, since it uses less digits than its factorization.

102212131001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150766 (or 4150762 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102212131001032 its reverse (230100131212201), we get a palindrome (332312262213233).

The spelling of 102212131001032 in words is "one hundred two trillion, two hundred twelve billion, one hundred thirty-one million, one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 239 478 956 991 1912 1982 3107 3964 6214 7928 12428 12883 24856 25766 51532 103064 236849 473698 947396 1894792 3079037 4149517 6158074 8299034 12316148 16598068 24632296 33196136 53943721 107887442 215774884 431549768 991734563 1983469126 3966938252 4112171347 7933876504 8224342694 12892549319 16448685388 25785098638 32897370776 51570197276 53458227511 103140394552 106916455022 213832910044 427665820088 982808951933 1965617903866 3931235807732 7862471615464 12776516375129 25553032750258 51106065500516 102212131001032