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102264132609 = 3312293081823
BaseRepresentation
bin101111100111101101…
…0101101010000000001
3100202221222000012022000
41133033122231100001
53133414104220414
6114551323134213
710250125533132
oct1371732552001
9322858005260
10102264132609
113a408489481
12179a0074369
139849907092
144d41a33c89
1529d7dc3b09
hex17cf6ad401

102264132609 has 16 divisors (see below), whose sum is σ = 151625740800. Its totient is φ = 68120593488.

The previous prime is 102264132601. The next prime is 102264132613. The reversal of 102264132609 is 906231462201.

It is a happy number.

102264132609 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 6 + 41 + 3 + 2 + 609 = 666.

It is not a de Polignac number, because 102264132609 - 23 = 102264132601 is a prime.

It is a super-2 number, since 2×1022641326092 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102264132601) 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 15 ways as a sum of consecutive naturals, for example, 1507729 + ... + 1574094.

It is an arithmetic number, because the mean of its divisors is an integer number (9476608800).

Almost surely, 2102264132609 is an apocalyptic number.

It is an amenable number.

102264132609 is a deficient number, since it is larger than the sum of its proper divisors (49361608191).

102264132609 is a wasteful number, since it uses less digits than its factorization.

102264132609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083061 (or 3083055 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 102264132609 in words is "one hundred two billion, two hundred sixty-four million, one hundred thirty-two thousand, six hundred nine".

Divisors: 1 3 9 27 1229 3687 11061 33183 3081823 9245469 27736407 83209221 3787560467 11362681401 34088044203 102264132609