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3134114313 = 311354126821
BaseRepresentation
bin1011101011001110…
…1100101000001001
322002102101111120220
42322303230220021
522404313124223
61234554540253
7140444350341
oct27263545011
98072344526
103134114313
111369142520
12735737689
133ac410915
1421a357d21
151352366e3
hexbaceca09

3134114313 has 16 divisors (see below), whose sum is σ = 4560169152. Its totient is φ = 1898856000.

The previous prime is 3134114309. The next prime is 3134114327.

3134114313 is nontrivially palindromic in base 10.

3134114313 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 3134114313 - 22 = 3134114309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3134114393) 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, 103443 + ... + 130263.

It is an arithmetic number, because the mean of its divisors is an integer number (285010572).

Almost surely, 23134114313 is an apocalyptic number.

3134114313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3134114313 is a deficient number, since it is larger than the sum of its proper divisors (1426054839).

3134114313 is a wasteful number, since it uses less digits than its factorization.

3134114313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30376.

The product of its digits is 1296, while the sum is 24.

The square root of 3134114313 is about 55983.1609772081. The cubic root of 3134114313 is about 1463.4288448626.

It can be divided in two parts, 31341 and 14313, that added together give a palindrome (45654).

The spelling of 3134114313 in words is "three billion, one hundred thirty-four million, one hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 11 33 3541 10623 26821 38951 80463 116853 295031 885093 94973161 284919483 1044704771 3134114313