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102112001212122 = 232112322422485993
BaseRepresentation
bin10111001101111011001101…
…100011110011111011011010
3111101112210220221012110120100
4113031323031203303323122
5101341000334302241442
61001101334502240230
730336230403221406
oct2715731543637332
9441483827173510
10102112001212122
112a5995026a2390
12b551ba6726076
1344c91746871a5
141b30366578106
15bc127a3e684c
hex5cdecd8f3eda

102112001212122 has 48 divisors (see below), whose sum is σ = 251849362684608. Its totient is φ = 29597681509440.

The previous prime is 102112001212087. The next prime is 102112001212139. The reversal of 102112001212122 is 221212100211201.

102112001212122 is a `hidden beast` number, since 10 + 211 + 200 + 121 + 2 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102112001212095 and 102112001212104.

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, 11211238443 + ... + 11211247550.

It is an arithmetic number, because the mean of its divisors is an integer number (5246861722596).

Almost surely, 2102112001212122 is an apocalyptic number.

102112001212122 is an abundant number, since it is smaller than the sum of its proper divisors (149737361472486).

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

102112001212122 is a wasteful number, since it uses less digits than its factorization.

102112001212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22422486035 (or 22422486032 counting only the distinct ones).

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

Adding to 102112001212122 its reverse (221212100211201), we get a palindrome (323324101423323).

The spelling of 102112001212122 in words is "one hundred two trillion, one hundred twelve billion, one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 22422485993 44844971986 67267457979 134534915958 201802373937 246647345923 403604747874 493294691846 515717177839 739942037769 1031434355678 1479884075538 1547151533517 2219826113307 3094303067034 4439652226614 4641454600551 5672888956229 9282909201102 11345777912458 17018666868687 34037333737374 51056000606061 102112001212122