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130112320 = 2651331277
BaseRepresentation
bin1111100000101…
…01101101000000
3100001211101112211
413300111231000
5231302043240
620524431504
73136636132
oct760255500
9301741484
10130112320
1167499348
12376a8594
1320c57950
14133cd052
15b651bea
hex7c15b40

130112320 has 56 divisors (see below), whose sum is σ = 333673704. Its totient is φ = 48039936.

The previous prime is 130112303. The next prime is 130112327. The reversal of 130112320 is 23211031.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 126517504 = 1896^2 + 11248^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 130112320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130112327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11479 + ... + 19798.

It is an arithmetic number, because the mean of its divisors is an integer number (5958459).

Almost surely, 2130112320 is an apocalyptic number.

130112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130112320 is an abundant number, since it is smaller than the sum of its proper divisors (203561384).

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

130112320 is a wasteful number, since it uses less digits than its factorization.

130112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31307 (or 31297 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 130112320 is about 11406.6787453667. The cubic root of 130112320 is about 506.7255548666.

Adding to 130112320 its reverse (23211031), we get a palindrome (153323351).

The spelling of 130112320 in words is "one hundred thirty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 31277 62554 125108 156385 250216 312770 406601 500432 625540 813202 1000864 1251080 1626404 2001728 2033005 2502160 3252808 4066010 5004320 6505616 8132020 10008640 13011232 16264040 26022464 32528080 65056160 130112320