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1313682412 = 2271731127701
BaseRepresentation
bin100111001001101…
…0011001111101100
310101112220222111011
41032103103033230
510142300314122
6334204435004
744361054610
oct11623231754
93345828434
101313682412
116145a3049
12307b48a64
1317c218993
14c6683340
157a4e4377
hex4e4d33ec

1313682412 has 96 divisors (see below), whose sum is σ = 2898395136. Its totient is φ = 508032000.

The previous prime is 1313682347. The next prime is 1313682427. The reversal of 1313682412 is 2142863131.

It is a super-2 number, since 2×13136824122 = 3451522959196275488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1873662 + ... + 1874362.

It is an arithmetic number, because the mean of its divisors is an integer number (30191616).

Almost surely, 21313682412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313682412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449197568).

1313682412 is an abundant number, since it is smaller than the sum of its proper divisors (1584712724).

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

1313682412 is a wasteful number, since it uses less digits than its factorization.

1313682412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 1313682412 is about 36244.7570277413. The cubic root of 1313682412 is about 1095.2084733349.

The spelling of 1313682412 in words is "one billion, three hundred thirteen million, six hundred eighty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 127 217 238 254 434 476 508 527 701 868 889 1054 1402 1778 2108 2159 2804 3556 3689 3937 4318 4907 7378 7874 8636 9814 11917 14756 15113 15748 19628 21731 23834 27559 30226 43462 47668 55118 60452 66929 83419 86924 89027 110236 133858 152117 166838 178054 267716 304234 333676 356108 369427 468503 608468 623189 738854 937006 1246378 1477708 1513459 1874012 2492756 2585989 2759837 3026918 5171978 5519674 6053836 10343956 10594213 11039348 19318859 21188426 38637718 42376852 46917229 77275436 93834458 187668916 328420603 656841206 1313682412