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3131412431 = 72934614457
BaseRepresentation
bin1011101010100101…
…1000111111001111
322002020022020022012
42322221120333033
522403120144211
61234421011435
7140412365210
oct27251307717
98066266265
103131412431
111367667564
12734853b7b
133ab9a5b84
14219c53407
15134da0d8b
hexbaa58fcf

3131412431 has 16 divisors (see below), whose sum is σ = 3704063040. Its totient is φ = 2590183680.

The previous prime is 3131412419. The next prime is 3131412437. The reversal of 3131412431 is 1342141313.

It is not a de Polignac number, because 3131412431 - 26 = 3131412367 is a prime.

It is a super-2 number, since 2×31314124312 = 19611487626042659522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3131412397 and 3131412406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131412437) 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, 700355 + ... + 704811.

It is an arithmetic number, because the mean of its divisors is an integer number (231503940).

Almost surely, 23131412431 is an apocalyptic number.

3131412431 is a deficient number, since it is larger than the sum of its proper divisors (572650609).

3131412431 is a wasteful number, since it uses less digits than its factorization.

3131412431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954.

The product of its digits is 864, while the sum is 23.

The square root of 3131412431 is about 55959.0245715559. The cubic root of 3131412431 is about 1463.0081891963.

Adding to 3131412431 its reverse (1342141313), we get a palindrome (4473553744).

The spelling of 3131412431 in words is "three billion, one hundred thirty-one million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 7 29 203 3461 4457 24227 31199 100369 129253 702583 904771 15425677 107979739 447344633 3131412431