Search a number
-
+
1313132331 = 37237241429
BaseRepresentation
bin100111001000100…
…1100111100101011
310101111220000220210
41032101030330223
510142130213311
6334144552203
744353304100
oct11621147453
93344800823
101313132331
11614257835
12307922663
1317c0854a4
14c657caa7
157a4363a6
hex4e44cf2b

1313132331 has 24 divisors (see below), whose sum is σ = 2091749520. Its totient is φ = 730078272.

The previous prime is 1313132287. The next prime is 1313132333. The reversal of 1313132331 is 1332313131.

It is not a de Polignac number, because 1313132331 - 221 = 1311035179 is a prime.

It is a super-2 number, since 2×13131323312 = 3448633037434987122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1313132298 and 1313132307.

It is not an unprimeable number, because it can be changed into a prime (1313132333) 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, 115276 + ... + 126153.

It is an arithmetic number, because the mean of its divisors is an integer number (87156230).

Almost surely, 21313132331 is an apocalyptic number.

1313132331 is a deficient number, since it is larger than the sum of its proper divisors (778617189).

1313132331 is a wasteful number, since it uses less digits than its factorization.

1313132331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241483 (or 241476 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 1313132331 is about 36237.1678115164. The cubic root of 1313132331 is about 1095.0555856772.

Adding to 1313132331 its reverse (1332313131), we get a palindrome (2645445462).

It can be divided in two parts, 131313 and 2331, that multiplied together give a palindrome (306090603).

The spelling of 1313132331 in words is "one billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 37 49 111 147 259 777 1813 5439 241429 724287 1690003 5070009 8932873 11830021 26798619 35490063 62530111 187590333 437710777 1313132331