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1310108871372 = 2237591283206039
BaseRepresentation
bin10011000100001000100…
…100101110101011001100
311122020121201222022210120
4103010020210232223030
5132431100332340442
62441504455504540
7163436501444520
oct23041044565314
94566551868716
101310108871372
11465683337944
12191aa8988150
1396709513332
14475a3d6bd80
152412b63b4ec
hex1310892eacc

1310108871372 has 96 divisors (see below), whose sum is σ = 3555624038400. Its totient is φ = 367683876672.

The previous prime is 1310108871311. The next prime is 1310108871373. The reversal of 1310108871372 is 2731788010131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1310108871373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6255529 + ... + 6461567.

It is an arithmetic number, because the mean of its divisors is an integer number (37037750400).

Almost surely, 21310108871372 is an apocalyptic number.

1310108871372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310108871372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777812019200).

1310108871372 is an abundant number, since it is smaller than the sum of its proper divisors (2245515167028).

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

1310108871372 is a wasteful number, since it uses less digits than its factorization.

1310108871372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207395 (or 207393 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 1310108871372 in words is "one trillion, three hundred ten billion, one hundred eight million, eight hundred seventy-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1283 1652 2478 2566 3849 4956 5132 7698 8981 15396 17962 26943 35924 53886 75697 107772 151394 206039 227091 302788 412078 454182 529879 618117 824156 908364 1059758 1236234 1442273 1589637 2119516 2472468 2884546 3179274 4326819 5769092 6358548 8653638 12156301 17307276 24312602 36468903 48625204 72937806 85094107 145875612 170188214 255282321 264348037 340376428 510564642 528696074 793044111 1021129284 1057392148 1586088222 1850436259 3172176444 3700872518 5551308777 7401745036 11102617554 15596534183 22205235108 31193068366 46789602549 62386136732 93579205098 109175739281 187158410196 218351478562 327527217843 436702957124 655054435686 1310108871372