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1314334131 = 31139828307
BaseRepresentation
bin100111001010111…
…0010010110110011
310101121011002110220
41032111302112303
510142432143011
6334230424123
744366440635
oct11625622663
93347132426
101314334131
116149a8760
12308202043
1317c3b6506
14c67b2a55
157a5c2506
hex4e5725b3

1314334131 has 8 divisors (see below), whose sum is σ = 1911758784. Its totient is φ = 796566120.

The previous prime is 1314334129. The next prime is 1314334163.

1314334131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1314334131 - 21 = 1314334129 is a prime.

It is a super-2 number, since 2×13143341312 = 3454948415823050322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1314334181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19914121 + ... + 19914186.

It is an arithmetic number, because the mean of its divisors is an integer number (238969848).

Almost surely, 21314334131 is an apocalyptic number.

1314334131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1314334131 is a deficient number, since it is larger than the sum of its proper divisors (597424653).

1314334131 is a wasteful number, since it uses less digits than its factorization.

1314334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39828321.

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

The square root of 1314334131 is about 36253.7464408853. The cubic root of 1314334131 is about 1095.3895546889.

It can be divided in two parts, 13143 and 34131, that added together give a palindrome (47274).

The spelling of 1314334131 in words is "one billion, three hundred fourteen million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 39828307 119484921 438111377 1314334131