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13110013003140 = 2232572833405573
BaseRepresentation
bin1011111011000110100110…
…1010110000010110000100
31201102022020100101010121100
42332301221222300112010
53204243301312100030
643514353513020100
72522111225610024
oct276615152602604
951368210333540
1013110013003140
1141a4a1a6212a9
1215789849b4630
13741365a88a91
14334756c31a84
1517b04c99c360
hexbec69ab0584

13110013003140 has 36 divisors (see below), whose sum is σ = 39767039443404. Its totient is φ = 3496003467456.

The previous prime is 13110013003093. The next prime is 13110013003169. The reversal of 13110013003140 is 4130031001131.

It can be written as a sum of positive squares in 2 ways, for example, as 2969087394816 + 10140925608324 = 1723104^2 + 3184482^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36416702607 + ... + 36416702966.

It is an arithmetic number, because the mean of its divisors is an integer number (1104639984539).

Almost surely, 213110013003140 is an apocalyptic number.

13110013003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110013003140 is an abundant number, since it is smaller than the sum of its proper divisors (26657026440264).

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

13110013003140 is a wasteful number, since it uses less digits than its factorization.

13110013003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72833405588 (or 72833405583 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13110013003140 its reverse (4130031001131), we get a palindrome (17240044004271).

The spelling of 13110013003140 in words is "thirteen trillion, one hundred ten billion, thirteen million, three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72833405573 145666811146 218500216719 291333622292 364167027865 437000433438 655500650157 728334055730 874000866876 1092501083595 1311001300314 1456668111460 2185002167190 2622002600628 3277503250785 4370004334380 6555006501570 13110013003140