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10131100111 = 1131257115603
BaseRepresentation
bin10010110111101110…
…00101000111001111
3222011001110012200001
421123313011013033
5131222030200421
64353144345131
7506025634006
oct113367050717
928131405601
1010131100111
114329818510
121b68a751a7
13c55bcc8c2
146c172bc3d
153e4657691
hex25bdc51cf

10131100111 has 16 divisors (see below), whose sum is σ = 11453119488. Its totient is φ = 8878233600.

The previous prime is 10131100103. The next prime is 10131100141. The reversal of 10131100111 is 11100113101.

It is a cyclic number.

It is not a de Polignac number, because 10131100111 - 23 = 10131100103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131100141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29836 + ... + 145438.

It is an arithmetic number, because the mean of its divisors is an integer number (715819968).

Almost surely, 210131100111 is an apocalyptic number.

10131100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131100111 is a deficient number, since it is larger than the sum of its proper divisors (1322019377).

10131100111 is a wasteful number, since it uses less digits than its factorization.

10131100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115902.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10131100111 its reverse (11100113101), we get a palindrome (21231213212).

The spelling of 10131100111 in words is "ten billion, one hundred thirty-one million, one hundred thousand, one hundred eleven".

Divisors: 1 11 31 257 341 2827 7967 87637 115603 1271633 3583693 29709971 39420623 326809681 921009101 10131100111