Search a number
-
+
107322026032340 = 22576133053380207
BaseRepresentation
bin11000011001101111011011…
…001111001111110011010100
3112001222212220112001220112122
4120121233123033033303110
5103031331002131013330
61020131020315435112
731414521565415630
oct3031573317176324
9461885815056478
10107322026032340
11312180198a7929
1210053889455a98
1347b65679381b2
141c705b1585dc0
15c61a5b1ee5e5
hex619bdb3cfcd4

107322026032340 has 96 divisors (see below), whose sum is σ = 261803977473024. Its totient is φ = 36191717890560.

The previous prime is 107322026032339. The next prime is 107322026032357. The reversal of 107322026032340 is 43230620223701.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 107322026032340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282082517 + ... + 282462723.

It is an arithmetic number, because the mean of its divisors is an integer number (2727124765344).

Almost surely, 2107322026032340 is an apocalyptic number.

107322026032340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107322026032340 is an abundant number, since it is smaller than the sum of its proper divisors (154481951440684).

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

107322026032340 is a wasteful number, since it uses less digits than its factorization.

107322026032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413337 (or 413335 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 107322026032340 in words is "one hundred seven trillion, three hundred twenty-two billion, twenty-six million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 33053 66106 132212 165265 231371 330530 380207 462742 661060 760414 925484 1156855 1520828 1901035 2016233 2313710 2661449 3802070 4032466 4627420 5322898 7604140 8064932 10081165 10645796 13307245 14113631 20162330 23192627 26614490 28227262 40324660 46385254 53228980 56454524 70568155 92770508 115963135 141136310 162348389 231926270 282272620 324696778 463852540 649393556 811741945 1623483890 3246967780 12566981971 25133963942 50267927884 62834909855 87968873797 125669819710 175937747594 251339639420 351875495188 439844368985 766585900231 879688737970 1533171800462 1759377475940 3066343600924 3832929501155 5366101301617 7665859002310 10732202603234 15331718004620 21464405206468 26830506508085 53661013016170 107322026032340