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130993863 = 371113181241
BaseRepresentation
bin1111100111011…
…00111011000111
3100010111011210120
413303230323013
5232013300423
620555353023
73150300210
oct763547307
9303434716
10130993863
1167a406a0
1237a52773
13211a5c80
141357c407
15b777ee3
hex7cecec7

130993863 has 64 divisors (see below), whose sum is σ = 236780544. Its totient is φ = 62208000.

The previous prime is 130993861. The next prime is 130993873. The reversal of 130993863 is 368399031.

130993863 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 130993863 - 21 = 130993861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130993861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543423 + ... + 543663.

It is an arithmetic number, because the mean of its divisors is an integer number (3699696).

Almost surely, 2130993863 is an apocalyptic number.

130993863 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130993863 is a deficient number, since it is larger than the sum of its proper divisors (105786681).

130993863 is a wasteful number, since it uses less digits than its factorization.

130993863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 130993863 is about 11445.2550430298. The cubic root of 130993863 is about 507.8673768223.

The spelling of 130993863 in words is "one hundred thirty million, nine hundred ninety-three thousand, eight hundred sixty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 181 231 241 273 429 543 723 1001 1267 1687 1991 2353 2651 3003 3133 3801 5061 5973 7059 7953 9399 13937 16471 18557 21931 25883 34463 41811 43621 49413 55671 65793 77649 103389 130863 181181 241241 305347 479831 543543 567073 723723 916041 1439493 1701219 3358817 3969511 6237803 10076451 11908533 18713409 43664621 130993863