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3131311023 = 3231107104891
BaseRepresentation
bin1011101010100100…
…0000001110101111
322002020010002012100
42322221000032233
522403103423043
61234414510143
7140411463441
oct27251001657
98066102170
103131311023
1113675a8355
12734805353
133ab96b979
14219c28491
15134d80cd3
hexbaa403af

3131311023 has 24 divisors (see below), whose sum is σ = 4712587776. Its totient is φ = 2001301200.

The previous prime is 3131311019. The next prime is 3131311049. The reversal of 3131311023 is 3201131313.

It is a happy number.

3131311023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3131311023 - 22 = 3131311019 is a prime.

It is a super-2 number, since 2×31313110232 = 19610217445522613058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131310987 and 3131311005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131311003) 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, 22593 + ... + 82298.

It is an arithmetic number, because the mean of its divisors is an integer number (196357824).

Almost surely, 23131311023 is an apocalyptic number.

3131311023 is a deficient number, since it is larger than the sum of its proper divisors (1581276753).

3131311023 is a wasteful number, since it uses less digits than its factorization.

3131311023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105035 (or 105032 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3131311023 is about 55958.1184726577. The cubic root of 3131311023 is about 1462.9923962872.

Adding to 3131311023 its reverse (3201131313), we get a palindrome (6332442336).

The spelling of 3131311023 in words is "three billion, one hundred thirty-one million, three hundred eleven thousand, twenty-three".

Divisors: 1 3 9 31 93 107 279 321 963 3317 9951 29853 104891 314673 944019 3251621 9754863 11223337 29264589 33670011 101010033 347923447 1043770341 3131311023