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106007022584 = 2323515636273
BaseRepresentation
bin110001010111010000…
…0101100101111111000
3101010121210220201002122
41202232200230233320
53214100244210314
6120410550220412
710441644552611
oct1425640545770
9333553821078
10106007022584
1140a59223081
1218665654708
139cc5196a88
1451b8b7ac08
152b567ad28e
hex18ae82cbf8

106007022584 has 16 divisors (see below), whose sum is σ = 198847746720. Its totient is φ = 52980956800.

The previous prime is 106007022571. The next prime is 106007022599. The reversal of 106007022584 is 485220700601.

106007022584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1060070225842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2799329 + ... + 2836944.

It is an arithmetic number, because the mean of its divisors is an integer number (12427984170).

Almost surely, 2106007022584 is an apocalyptic number.

It is an amenable number.

106007022584 is a deficient number, since it is larger than the sum of its proper divisors (92840724136).

106007022584 is a wasteful number, since it uses less digits than its factorization.

106007022584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638630 (or 5638626 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 106007022584 in words is "one hundred six billion, seven million, twenty-two thousand, five hundred eighty-four".

Divisors: 1 2 4 8 2351 4702 9404 18808 5636273 11272546 22545092 45090184 13250877823 26501755646 53003511292 106007022584