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1313916381 = 324117212069
BaseRepresentation
bin100111001010000…
…1100010111011101
310101120100212102200
41032110030113131
510142330311011
6334213442113
744363051001
oct11624142735
93346325380
101313916381
11614742908
12308040339
1317c29b31b
14c6704701
157a53d856
hex4e50c5dd

1313916381 has 24 divisors (see below), whose sum is σ = 1946238840. Its totient is φ = 853670400.

The previous prime is 1313916343. The next prime is 1313916389. The reversal of 1313916381 is 1836193131.

1313916381 is a `hidden beast` number, since 1 + 3 + 13 + 9 + 1 + 638 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2752281 + 1311164100 = 1659^2 + 36210^2 .

It is not a de Polignac number, because 1313916381 - 217 = 1313785309 is a prime.

It is a super-2 number, since 2×13139163812 = 3452752512520274322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313916389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634015 + ... + 636083.

It is an arithmetic number, because the mean of its divisors is an integer number (81093285).

Almost surely, 21313916381 is an apocalyptic number.

It is an amenable number.

1313916381 is a deficient number, since it is larger than the sum of its proper divisors (632322459).

1313916381 is a wasteful number, since it uses less digits than its factorization.

1313916381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3834 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 1313916381 is about 36247.9845094869. The cubic root of 1313916381 is about 1095.2734889526.

The spelling of 1313916381 in words is "one billion, three hundred thirteen million, nine hundred sixteen thousand, three hundred eighty-one".

Divisors: 1 3 9 41 123 369 1721 2069 5163 6207 15489 18621 70561 84829 211683 254487 635049 763461 3560749 10682247 32046741 145990709 437972127 1313916381