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3114131331 = 319292167389
BaseRepresentation
bin1011100110011101…
…1101111110000011
322001000210021002110
42321213131332003
522334204200311
61233002350403
7140112452043
oct27147357603
98030707073
103114131331
111358933a63
1272aabb403
133a823517c
14217835723
151335da8a6
hexb99ddf83

3114131331 has 48 divisors (see below), whose sum is σ = 4565433600. Its totient is φ = 1882774656.

The previous prime is 3114131323. The next prime is 3114131341. The reversal of 3114131331 is 1331314113.

It is not a de Polignac number, because 3114131331 - 23 = 3114131323 is a prime.

It is a super-2 number, since 2×31141313312 = 19395627893431663122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3114131298 and 3114131307.

It is not an unprimeable number, because it can be changed into a prime (3114131341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8005285 + ... + 8005673.

It is an arithmetic number, because the mean of its divisors is an integer number (95113200).

Almost surely, 23114131331 is an apocalyptic number.

3114131331 is a deficient number, since it is larger than the sum of its proper divisors (1451302269).

3114131331 is a wasteful number, since it uses less digits than its factorization.

3114131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 607 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 3114131331 is about 55804.4024338582. The cubic root of 3114131331 is about 1460.3119573278.

Adding to 3114131331 its reverse (1331314113), we get a palindrome (4445445444).

The spelling of 3114131331 in words is "three billion, one hundred fourteen million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 19 29 57 87 167 389 501 551 841 1167 1653 2523 3173 4843 7391 9519 11281 14529 15979 22173 33843 47937 64963 92017 140447 194889 214339 276051 327149 421341 643017 981447 1234297 1883927 2668493 3702891 5651781 6215831 8005479 18647493 35794613 54633883 107383839 163901649 1038043777 3114131331