Search a number
-
+
1313104056 = 2331161671217
BaseRepresentation
bin100111001000100…
…0110000010111000
310101111211121010120
41032101012002320
510142123312211
6334144213240
744353125465
oct11621060270
93344747116
101313104056
11614238570
1230790a220
1317c075664
14c657266c
157a42cd06
hex4e4460b8

1313104056 has 128 divisors (see below), whose sum is σ = 3697263360. Its totient is φ = 385228800.

The previous prime is 1313104031. The next prime is 1313104061. The reversal of 1313104056 is 6504013131.

It is a super-2 number, since 2×13131040562 = 3448484523767302272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078360 + ... + 1079576.

It is an arithmetic number, because the mean of its divisors is an integer number (28884870).

Almost surely, 21313104056 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 1313104056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848631680).

1313104056 is an abundant number, since it is smaller than the sum of its proper divisors (2384159304).

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

1313104056 is a wasteful number, since it uses less digits than its factorization.

1313104056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1313104056 is about 36236.7776713107. Note that the first 3 decimals coincide. The cubic root of 1313104056 is about 1095.0477258654.

Adding to 1313104056 its reverse (6504013131), we get a palindrome (7817117187).

The spelling of 1313104056 in words is "one billion, three hundred thirteen million, one hundred four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 67 88 122 132 134 183 201 244 264 268 366 402 488 536 671 732 737 804 1217 1342 1464 1474 1608 2013 2211 2434 2684 2948 3651 4026 4087 4422 4868 5368 5896 7302 8052 8174 8844 9736 12261 13387 14604 16104 16348 17688 24522 26774 29208 32696 40161 44957 49044 53548 74237 80322 81539 89914 98088 107096 134871 148474 160644 163078 179828 222711 244617 269742 296948 321288 326156 359656 445422 489234 539484 593896 652312 816607 890844 896929 978468 1078968 1633214 1781688 1793858 1956936 2449821 2690787 3266428 3587716 4899642 4973879 5381574 6532856 7175432 9799284 9947758 10763148 14921637 19598568 19895516 21526296 29843274 39791032 54712669 59686548 109425338 119373096 164138007 218850676 328276014 437701352 656552028 1313104056