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102200020122 = 23374310706057
BaseRepresentation
bin101111100101110011…
…0001000110010011010
3100202210111100221111110
41133023212020302122
53133301201120442
6114541113041150
710245416560224
oct1371346106232
9322714327443
10102200020122
113a385279852
12179826b61b6
13983954a2b5
144d37305414
1529d245c69c
hex17cb988c9a

102200020122 has 32 divisors (see below), whose sum is σ = 214806347712. Its totient is φ = 32375113344.

The previous prime is 102200020081. The next prime is 102200020157. The reversal of 102200020122 is 221020002201.

It is a super-2 number, since 2×1022000201222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200020098 and 102200020107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5343483 + ... + 5362574.

It is an arithmetic number, because the mean of its divisors is an integer number (6712698366).

Almost surely, 2102200020122 is an apocalyptic number.

102200020122 is an abundant number, since it is smaller than the sum of its proper divisors (112606327590).

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

102200020122 is a wasteful number, since it uses less digits than its factorization.

102200020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706142.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102200020122 its reverse (221020002201), we get a palindrome (323220022323).

The spelling of 102200020122 in words is "one hundred two billion, two hundred million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 43 74 86 111 129 222 258 1591 3182 4773 9546 10706057 21412114 32118171 64236342 396124109 460360451 792248218 920720902 1188372327 1381081353 2376744654 2762162706 17033336687 34066673374 51100010061 102200020122