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1311131304 = 233272601451
BaseRepresentation
bin100111000100110…
…0100011010101000
310101101010101000200
41032021210122220
510141122200204
6334034032200
744330301150
oct11611443250
93341111020
101311131304
1161311039a
12307118660
1317b834752
14c61bb760
157a18d539
hex4e2646a8

1311131304 has 48 divisors (see below), whose sum is σ = 4058265120. Its totient is φ = 374608800.

The previous prime is 1311131303. The next prime is 1311131387. The reversal of 1311131304 is 4031311131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1311131303) 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 11 ways as a sum of consecutive naturals, for example, 1300222 + ... + 1301229.

It is an arithmetic number, because the mean of its divisors is an integer number (84547190).

Almost surely, 21311131304 is an apocalyptic number.

1311131304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311131304 is an abundant number, since it is smaller than the sum of its proper divisors (2747133816).

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

1311131304 is a wasteful number, since it uses less digits than its factorization.

1311131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601470 (or 2601463 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1311131304 is about 36209.5471388417. The cubic root of 1311131304 is about 1094.4990665489.

Adding to 1311131304 its reverse (4031311131), we get a palindrome (5342442435).

The spelling of 1311131304 in words is "one billion, three hundred eleven million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2601451 5202902 7804353 10405804 15608706 18210157 20811608 23413059 31217412 36420314 46826118 54630471 62434824 72840628 93652236 109260942 145681256 163891413 187304472 218521884 327782826 437043768 655565652 1311131304