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1313103870 = 2325131959069
BaseRepresentation
bin100111001000100…
…0101111111111110
310101111211120212200
41032101011333332
510142123310440
6334144212330
744353125111
oct11621057776
93344746780
101313103870
11614238411
1230790a0a6
1317c075550
14c6572578
157a42cc30
hex4e445ffe

1313103870 has 96 divisors (see below), whose sum is σ = 3870266400. Its totient is φ = 306208512.

The previous prime is 1313103853. The next prime is 1313103877. The reversal of 1313103870 is 783013131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313103877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7305 + ... + 51764.

It is an arithmetic number, because the mean of its divisors is an integer number (40315275).

Almost surely, 21313103870 is an apocalyptic number.

1313103870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313103870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935133200).

1313103870 is an abundant number, since it is smaller than the sum of its proper divisors (2557162530).

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

1313103870 is a wasteful number, since it uses less digits than its factorization.

1313103870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59114 (or 59111 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1313103870 is about 36236.7751048572. The cubic root of 1313103870 is about 1095.0476741613.

The spelling of 1313103870 in words is "one billion, three hundred thirteen million, one hundred three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 22230 59069 118138 177207 295345 354414 531621 590690 767897 886035 1063242 1122311 1535794 1772070 2244622 2303691 2658105 3366933 3839485 4607382 5316210 5611555 6733866 6911073 7678970 10100799 11223110 11518455 13822146 14590043 16834665 20201598 23036910 29180086 33669330 34555365 43770129 50503995 69110730 72950215 87540258 101007990 131310387 145900430 218850645 262620774 437701290 656551935 1313103870