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130140211122042 = 2311179181206329501
BaseRepresentation
bin11101100101110010100001…
…000011100000111101111010
3122001210021122001222021111220
4131211302201003200331322
5114024204123021401132
61140441330532532510
736261214515450102
oct3545624103407572
9561707561867456
10130140211122042
11385151764804a0
121271a065481136
135780227ac6964
14241cb69866202
15100a3a3abea2c
hex765ca10e0f7a

130140211122042 has 128 divisors (see below), whose sum is σ = 287254960312320. Its totient is φ = 38979223200000.

The previous prime is 130140211122023. The next prime is 130140211122083. The reversal of 130140211122042 is 240221112041031.

130140211122042 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 4411368292 + ... + 4411397792.

It is an arithmetic number, because the mean of its divisors is an integer number (2244179377440).

Almost surely, 2130140211122042 is an apocalyptic number.

130140211122042 is an abundant number, since it is smaller than the sum of its proper divisors (157114749190278).

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

130140211122042 is a wasteful number, since it uses less digits than its factorization.

130140211122042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31940.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 130140211122042 its reverse (240221112041031), we get a palindrome (370361323163073).

The spelling of 130140211122042 in words is "one hundred thirty trillion, one hundred forty billion, two hundred eleven million, one hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 179 181 358 362 537 543 1074 1086 1969 1991 2063 3938 3982 4126 5907 5973 6189 11814 11946 12378 22693 29501 32399 45386 59002 64798 68079 88503 97197 136158 177006 194394 324511 356389 369277 373403 649022 712778 738554 746806 973533 1069167 1107831 1120209 1947066 2138334 2215662 2240418 4062047 4107433 5280679 5339681 8124094 8214866 10561358 10679362 12186141 12322299 15842037 16019043 24372282 24644598 31684074 32038086 58087469 58736491 60860563 66839137 116174938 117472982 121721126 133678274 174262407 176209473 182581689 200517411 348524814 352418946 365163378 401034822 669466193 735230507 955802899 1338932386 1470461014 1911605798 2008398579 2205691521 2867408697 4016797158 4411383042 5734817394 10513831889 10894040777 11015761903 21027663778 21788081554 22031523806 31541495667 32682122331 33047285709 63082991334 65364244662 66094571418 119834448547 121173380933 239668897094 242346761866 359503345641 363520142799 719006691282 727040285598 1971821380637 3943642761274 5915464141911 11830928283822 21690035187007 43380070374014 65070105561021 130140211122042