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130123031566806 = 232171512816150101
BaseRepresentation
bin11101100101100010100001…
…000100101101100111010110
3122001201122021210121110010100
4131211202201010231213112
5114023413432040114211
61140425410115234530
736260036011602165
oct3545424104554726
9561648253543110
10130123031566806
1138508960023363
121271686bba8a46
13577b71a856c65
14241bdb9da73dc
151009bea77b156
hex7658a112d9d6

130123031566806 has 48 divisors (see below), whose sum is σ = 300494480483808. Its totient is φ = 40552561440000.

The previous prime is 130123031566711. The next prime is 130123031566811. The reversal of 130123031566806 is 608665130321031.

130123031566806 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 3 + 0 + 3 + 1 + 566 + 80 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1408028845 + ... + 1408121256.

It is an arithmetic number, because the mean of its divisors is an integer number (6260301676746).

Almost surely, 2130123031566806 is an apocalyptic number.

130123031566806 is an abundant number, since it is smaller than the sum of its proper divisors (170371448917002).

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

130123031566806 is a wasteful number, since it uses less digits than its factorization.

130123031566806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816150277 (or 2816150274 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 130123031566806 its reverse (608665130321031), we get a palindrome (738788161887837).

The spelling of 130123031566806 in words is "one hundred thirty trillion, one hundred twenty-three billion, thirty-one million, five hundred sixty-six thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 151 153 302 306 453 906 1359 2567 2718 5134 7701 15402 23103 46206 2816150101 5632300202 8448450303 16896900606 25345350909 47874551717 50690701818 95749103434 143623655151 287247310302 425238665251 430870965453 850477330502 861741930906 1275715995753 2551431991506 3827147987259 7229057309267 7654295974518 14458114618534 21687171927801 43374343855602 65061515783403 130123031566806