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102022022220102 = 23231182835165269
BaseRepresentation
bin10111001100100111011010…
…011001001100100101000110
3111101020012200010212001222100
4113030213122121030211012
5101333012100142020402
61000552134152212530
730326563550342535
oct2714473231144506
9441205603761870
10102022022220102
112a56432991a966
12b53867499a146
1344c083500c08a
141b29c6c38831c
15bbdc60d1971c
hex5cc9da64c946

102022022220102 has 24 divisors (see below), whose sum is σ = 228178286256960. Its totient is φ = 32910329748240.

The previous prime is 102022022220101. The next prime is 102022022220127. The reversal of 102022022220102 is 201022220220201.

102022022220102 is a `hidden beast` number, since 1 + 0 + 20 + 220 + 222 + 201 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022022220101) 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 11 ways as a sum of consecutive naturals, for example, 91417582077 + ... + 91417583192.

It is an arithmetic number, because the mean of its divisors is an integer number (9507428594040).

Almost surely, 2102022022220102 is an apocalyptic number.

102022022220102 is an abundant number, since it is smaller than the sum of its proper divisors (126156264036858).

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

102022022220102 is a wasteful number, since it uses less digits than its factorization.

102022022220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182835165308 (or 182835165305 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102022022220102 its reverse (201022220220201), we get a palindrome (303044242440303).

The spelling of 102022022220102 in words is "one hundred two trillion, twenty-two billion, twenty-two million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 182835165269 365670330538 548505495807 1097010991614 1645516487421 3291032974842 5667890123339 11335780246678 17003670370017 34007340740034 51011011110051 102022022220102