Search a number
-
+
127332714170130 = 23573972286166809
BaseRepresentation
bin11100111100111011110101…
…001100100100011100010010
3121200211212222210011001220120
4130330323311030210130102
5113142204344311421010
61130451501421451110
735551325234220240
oct3474736514443422
9550755883131816
10127332714170130
1137632556656a97
1212345b24410a96
135608567354401
142362d170d3790
15eac339570e70
hex73cef5324712

127332714170130 has 128 divisors (see below), whose sum is σ = 350155738114560. Its totient is φ = 29029604567040.

The previous prime is 127332714170023. The next prime is 127332714170201. The reversal of 127332714170130 is 31071417233721.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1905888166 + ... + 1905954974.

It is an arithmetic number, because the mean of its divisors is an integer number (2735591704020).

Almost surely, 2127332714170130 is an apocalyptic number.

127332714170130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127332714170130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175077869057280).

127332714170130 is an abundant number, since it is smaller than the sum of its proper divisors (222823023944430).

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

127332714170130 is a wasteful number, since it uses less digits than its factorization.

127332714170130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90084.

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 127332714170130 in words is "one hundred twenty-seven trillion, three hundred thirty-two billion, seven hundred fourteen million, one hundred seventy thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 397 794 1191 1985 2382 2779 3970 5558 5955 8337 11910 13895 16674 22861 27790 41685 45722 66809 68583 83370 114305 133618 137166 160027 200427 228610 320054 334045 342915 400854 467663 480081 668090 685830 800135 935326 960162 1002135 1402989 1600270 2004270 2338315 2400405 2805978 4676630 4800810 7014945 9075817 14029890 18151634 26523173 27227451 45379085 53046346 54454902 63530719 79569519 90758170 127061438 132615865 136137255 159139038 185662211 190592157 265231730 272274510 317653595 371324422 381184314 397847595 556986633 635307190 795695190 928311055 952960785 1113973266 1527320549 1856622110 1905921570 2784933165 3054641098 4581961647 5569866330 7636602745 9163923294 10691243843 15273205490 21382487686 22909808235 32073731529 45819616470 53456219215 64147463058 106912438430 160368657645 320737315290 606346257953 1212692515906 1819038773859 3031731289765 3638077547718 4244423805671 6063462579530 8488847611342 9095193869295 12733271417013 18190387738590 21222119028355 25466542834026 42444238056710 63666357085065 127332714170130