Search a number
-
+
1313121492 = 223236475597
BaseRepresentation
bin100111001000100…
…1010010011010100
310101111212111001100
41032101022103110
510142124341432
6334144430100
744353230354
oct11621122324
93344774040
101313121492
1161424a681
12307918330
1317c080587
14c6578b64
157a43307c
hex4e44a4d4

1313121492 has 18 divisors (see below), whose sum is σ = 3319279418. Its totient is φ = 437707152.

The previous prime is 1313121461. The next prime is 1313121493. The reversal of 1313121492 is 2941213131.

It can be written as a sum of positive squares in only one way, i.e., 1253584836 + 59536656 = 35406^2 + 7716^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313121493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18237763 + ... + 18237834.

Almost surely, 21313121492 is an apocalyptic number.

1313121492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313121492 is an abundant number, since it is smaller than the sum of its proper divisors (2006157926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313121492 is a wasteful number, since it uses less digits than its factorization.

1313121492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36475607 (or 36475602 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1313121492 is about 36237.0182548178. The cubic root of 1313121492 is about 1095.0525726932.

The spelling of 1313121492 in words is "one billion, three hundred thirteen million, one hundred twenty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 36475597 72951194 109426791 145902388 218853582 328280373 437707164 656560746 1313121492