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31121412113 = 112257201753
BaseRepresentation
bin11100111110111110…
…110001000000010001
32222022220102112121002
4130332332301000101
51002214040141423
622144051511345
72151134431631
oct347676610021
988286375532
1031121412113
1112220253600
1260465b8555
132c1c801b6c
14171335c6c1
15c222de228
hex73efb1011

31121412113 has 6 divisors (see below), whose sum is σ = 34207833282. Its totient is φ = 28292192720.

The previous prime is 31121412109. The next prime is 31121412143.

31121412113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 31119429649 + 1982464 = 176407^2 + 1408^2 .

It is not a de Polignac number, because 31121412113 - 22 = 31121412109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31121412143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128600756 + ... + 128600997.

It is an arithmetic number, because the mean of its divisors is an integer number (5701305547).

Almost surely, 231121412113 is an apocalyptic number.

It is an amenable number.

31121412113 is a deficient number, since it is larger than the sum of its proper divisors (3086421169).

31121412113 is a wasteful number, since it uses less digits than its factorization.

31121412113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257201775 (or 257201764 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The spelling of 31121412113 in words is "thirty-one billion, one hundred twenty-one million, four hundred twelve thousand, one hundred thirteen".

Divisors: 1 11 121 257201753 2829219283 31121412113