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310231132013 = 11212720399901
BaseRepresentation
bin1001000001110110011…
…01110110011101101101
31002122202112121101101102
410200323031312131231
520040323132211023
6354303533452445
731261550053505
oct4407315663555
91078675541342
10310231132013
1110a628428200
125015b941125
132334068368a
141102dc6ca05
15810a9c5628
hex483b37676d

310231132013 has 24 divisors (see below), whose sum is σ = 343886161920. Its totient is φ = 279642132000.

The previous prime is 310231132007. The next prime is 310231132031.

310231132013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310231132013 - 212 = 310231127917 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 (310231132033) 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, 31328363 + ... + 31338263.

It is an arithmetic number, because the mean of its divisors is an integer number (14328590080).

Almost surely, 2310231132013 is an apocalyptic number.

It is an amenable number.

310231132013 is a deficient number, since it is larger than the sum of its proper divisors (33655029907).

310231132013 is a wasteful number, since it uses less digits than its factorization.

310231132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12089 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 310231 and 132013, that added together give a palindrome (442244).

The spelling of 310231132013 in words is "three hundred ten billion, two hundred thirty-one million, one hundred thirty-two thousand, thirteen".

Divisors: 1 11 121 127 1397 2039 9901 15367 22429 108911 246719 258953 1198021 1257427 2848483 13831697 20188139 31333313 152148667 222069529 2442764819 2563893653 28202830183 310231132013