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312110000111 = 72132539192977
BaseRepresentation
bin1001000101010110011…
…01001010011111101111
31002211121111000202212202
410202223031022133233
520103200130000421
6355214212252115
731356243141200
oct4425315123757
91084544022782
10312110000111
11110401a5a658
12505a501103b
132357c9c8850
141116b5d55a7
1581ba90c10b
hex48ab34a7ef

312110000111 has 24 divisors (see below), whose sum is σ = 391150967760. Its totient is φ = 246845636352.

The previous prime is 312110000057. The next prime is 312110000117. The reversal of 312110000111 is 111000011213.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-312110000111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312110000092 and 312110000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312110000117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1520855 + ... + 1713831.

It is an arithmetic number, because the mean of its divisors is an integer number (16297956990).

Almost surely, 2312110000111 is an apocalyptic number.

312110000111 is a deficient number, since it is larger than the sum of its proper divisors (79040967649).

312110000111 is a wasteful number, since it uses less digits than its factorization.

312110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195543 (or 195536 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 312110000111 its reverse (111000011213), we get a palindrome (423110011324).

The spelling of 312110000111 in words is "three hundred twelve billion, one hundred ten million, one hundred eleven", and thus it is an aban number.

Divisors: 1 7 13 49 91 637 2539 17773 33007 124411 192977 231049 1350839 1617343 2508701 9455873 17560907 122926349 489968603 3429780221 6369591839 24008461547 44587142873 312110000111