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131123210213232 = 24324889717725951
BaseRepresentation
bin11101110100000110000000…
…010111011101011101110000
3122012021020220222012001102200
4131310012000113131131300
5114141310313303310412
61142513100550543200
736422224246041246
oct3564060027353560
9565236828161380
10131123210213232
113886404a876a26
1212858681967b00
135821b33b41533
14245457c034796
151025c37a2e9dc
hex7741805dd770

131123210213232 has 120 divisors (see below), whose sum is σ = 367103218235520. Its totient is φ = 43691024332800.

The previous prime is 131123210213213. The next prime is 131123210213239. The reversal of 131123210213232 is 232312012321131.

131123210213232 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 3 + 210 + 213 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131123210213196 and 131123210213205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123210213239) 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, 5052709857 + ... + 5052735807.

It is an arithmetic number, because the mean of its divisors is an integer number (3059193485296).

Almost surely, 2131123210213232 is an apocalyptic number.

131123210213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131123210213232 is an abundant number, since it is smaller than the sum of its proper divisors (235980008022288).

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

131123210213232 is a wasteful number, since it uses less digits than its factorization.

131123210213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38031 (or 38022 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131123210213232 its reverse (232312012321131), we get a palindrome (363435222534363).

The spelling of 131123210213232 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, two hundred ten million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4889 7177 9778 14354 14667 19556 21531 25951 28708 29334 39112 43062 44001 51902 57416 58668 64593 77853 78224 86124 88002 103804 114832 117336 129186 155706 172248 176004 207608 233559 234672 258372 311412 344496 352008 415216 467118 516744 622824 704016 934236 1033488 1245648 1868472 3736944 35088353 70176706 105265059 126874439 140353412 186250327 210530118 253748878 280706824 315795177 372500654 380623317 421060236 507497756 558750981 561413648 631590354 745001308 761246634 842120472 1014995512 1117501962 1141869951 1263180708 1490002616 1522493268 1676252943 1684240944 2029991024 2235003924 2283739902 2526361416 2980005232 3044986536 3352505886 4470007848 4567479804 5052722832 6089973072 6705011772 8940015696 9134959608 13410023544 18269919216 26820047088 910577848703 1821155697406 2731733546109 3642311394812 5463467092218 7284622789624 8195200638327 10926934184436 14569245579248 16390401276654 21853868368872 32780802553308 43707736737744 65561605106616 131123210213232