Search a number
-
+
130121213223294 = 23231334369755351
BaseRepresentation
bin11101100101100000110100…
…101100010010000101111110
3122001201110121002002000202100
4131211200310230102011332
5114023401221041121134
61140424505442005530
736256642652125146
oct3545406454220576
9561643532060670
10130121213223294
113850810767aa27
12127164430468a6
13577b4bac13757
14241bc866b7926
151009b40cec999
hex765834b1217e

130121213223294 has 48 divisors (see below), whose sum is σ = 291110847565824. Its totient is φ = 41962028346000.

The previous prime is 130121213223293. The next prime is 130121213223307. The reversal of 130121213223294 is 492322312121031.

130121213223294 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 1 + 2 + 1 + 322 + 329 + 4 = 666.

It is a super-2 number, since 2×1301212132232942 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121213223293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33012282 + ... + 36743069.

It is an arithmetic number, because the mean of its divisors is an integer number (6064809324288).

Almost surely, 2130121213223294 is an apocalyptic number.

130121213223294 is an abundant number, since it is smaller than the sum of its proper divisors (160989634342530).

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

130121213223294 is a wasteful number, since it uses less digits than its factorization.

130121213223294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69758733 (or 69758730 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 130121213223294 in words is "one hundred thirty trillion, one hundred twenty-one billion, two hundred thirteen million, two hundred twenty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 3343 6686 10029 20058 30087 60174 103633 207266 310899 621798 932697 1865394 69755351 139510702 209266053 418532106 627798159 1255596318 2162415881 4324831762 6487247643 12974495286 19461742929 38923485858 233192138393 466384276786 699576415179 1399152830358 2098729245537 4197458491074 7228956290183 14457912580366 21686868870549 43373737741098 65060606611647 130121213223294