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102212965793 = 232375222141
BaseRepresentation
bin101111100110001011…
…1100001010110100001
3100202211101201122121202
41133030113201112201
53133313004401133
6114542254330545
710245634605551
oct1371427412641
9322741648552
10102212965793
113a391611054
1217986ab9a55
13983c130863
144d38d15161
1529d36682e8
hex17cc5e15a1

102212965793 has 12 divisors (see below), whose sum is σ = 109738091988. Its totient is φ = 95126502240.

The previous prime is 102212965759. The next prime is 102212965819. The reversal of 102212965793 is 397569212201.

It can be written as a sum of positive squares in 2 ways, for example, as 48793275664 + 53419690129 = 220892^2 + 231127^2 .

It is not a de Polignac number, because 102212965793 - 28 = 102212965537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212965693) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2591498 + ... + 2630643.

It is an arithmetic number, because the mean of its divisors is an integer number (9144840999).

Almost surely, 2102212965793 is an apocalyptic number.

It is an amenable number.

102212965793 is a deficient number, since it is larger than the sum of its proper divisors (7525126195).

102212965793 is an equidigital number, since it uses as much as digits as its factorization.

102212965793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222224 (or 5222201 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 102212965793 in words is "one hundred two billion, two hundred twelve million, nine hundred sixty-five thousand, seven hundred ninety-three".

Divisors: 1 23 37 529 851 19573 5222141 120109243 193219217 2762512589 4444041991 102212965793