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10010110000051 = 717109211770239
BaseRepresentation
bin1001000110101010100100…
…0011001111101110110011
31022102221211202222110122201
42101222221003033232303
52303001201130000201
633142325301244031
72052130600051150
oct221525103175663
938387752873581
1010010110000051
11320a29a14a767
121158039703617
13577c4587b085
142686c5b27227
151255bc7cd801
hex91aa90cfbb3

10010110000051 has 16 divisors (see below), whose sum is σ = 12113200926720. Its totient is φ = 8075298430080.

The previous prime is 10010109999997. The next prime is 10010110000061. The reversal of 10010110000051 is 15000001101001.

It is not a de Polignac number, because 10010110000051 - 211 = 10010109998003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010109999992 and 10010110000037.

It is not an unprimeable number, because it can be changed into a prime (10010110000061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12610990 + ... + 13381228.

It is an arithmetic number, because the mean of its divisors is an integer number (757075057920).

Almost surely, 210010110000051 is an apocalyptic number.

10010110000051 is a deficient number, since it is larger than the sum of its proper divisors (2103090926669).

10010110000051 is a wasteful number, since it uses less digits than its factorization.

10010110000051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879474.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 10010110000051 its reverse (15000001101001), we get a palindrome (25010111101052).

The spelling of 10010110000051 in words is "ten trillion, ten billion, one hundred ten million, fifty-one", and thus it is an aban number.

Divisors: 1 7 17 119 109211 764477 770239 1856587 5391673 12996109 13094063 91658441 84118571429 588830000003 1430015714293 10010110000051