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1315225131 = 31110123907
BaseRepresentation
bin100111001100100…
…1011111000101011
310101122211100200220
41032121023320223
510143144201011
6334301501123
744410141413
oct11631137053
93348740626
101315225131
11615457120
123085717a3
1317c638c2c
14c6965643
157a6eb506
hex4e64be2b

1315225131 has 24 divisors (see below), whose sum is σ = 1932677952. Its totient is φ = 789012000.

The previous prime is 1315225091. The next prime is 1315225181.

1315225131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1315225131 - 29 = 1315224619 is a prime.

It is a super-2 number, since 2×13152251312 = 3459634290427934322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315225181) 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 23 ways as a sum of consecutive naturals, for example, 334680 + ... + 338586.

It is an arithmetic number, because the mean of its divisors is an integer number (80528248).

Almost surely, 21315225131 is an apocalyptic number.

1315225131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1315225131 is a deficient number, since it is larger than the sum of its proper divisors (617452821).

1315225131 is a wasteful number, since it uses less digits than its factorization.

1315225131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4022 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 1315225131 is about 36266.0327441533. The cubic root of 1315225131 is about 1095.6370238848.

It can be divided in two parts, 13152 and 25131, that added together give a palindrome (38283).

The spelling of 1315225131 in words is "one billion, three hundred fifteen million, two hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 3907 10201 11721 30603 42977 112211 128931 336633 394607 1183821 4340677 13022031 39855307 119565921 438408377 1315225131