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3131213031 = 34232835939
BaseRepresentation
bin1011101010100010…
…1000010011100111
322002012221002210000
42322220220103213
522403042304111
61234412432343
7140410604652
oct27250502347
98065832700
103131213031
111367540771
127347786b3
133ab93619b
14219c00899
15134d61c56
hexbaa284e7

3131213031 has 40 divisors (see below), whose sum is σ = 4898931840. Its totient is φ = 1989325008.

The previous prime is 3131213003. The next prime is 3131213047. The reversal of 3131213031 is 1303121313.

It is a happy number.

3131213031 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 3131213031 - 26 = 3131212967 is a prime.

It is a super-2 number, since 2×31312130312 = 19608990091008413922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131212995 and 3131213013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131213831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524260 + ... + 530198.

It is an arithmetic number, because the mean of its divisors is an integer number (122473296).

Almost surely, 23131213031 is an apocalyptic number.

3131213031 is a deficient number, since it is larger than the sum of its proper divisors (1767718809).

3131213031 is a wasteful number, since it uses less digits than its factorization.

3131213031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6248 counting only the distinct ones).

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

The square root of 3131213031 is about 55957.2428824008. The cubic root of 3131213031 is about 1462.9771350494.

Adding to 3131213031 its reverse (1303121313), we get a palindrome (4434334344).

The spelling of 3131213031 in words is "three billion, one hundred thirty-one million, two hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 23 27 69 81 207 283 621 849 1863 2547 5939 6509 7641 17817 19527 22923 53451 58581 136597 160353 175743 409791 481059 527229 1229373 1680737 3688119 5042211 11064357 15126633 38656951 45379899 115970853 136139697 347912559 1043737677 3131213031