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131123204401240 = 23545196263115823
BaseRepresentation
bin11101110100000110000000…
…000001010010100001011000
3122012021020220120020202212201
4131310012000001102201120
5114141310310311314430
61142513100222215544
736422224145453542
oct3564060001224130
9565236816222781
10131123204401240
1138864047567327
121285867ba245b4
135821b32887c9c
14245457b360692
151025c372828ca
hex774180052858

131123204401240 has 64 divisors (see below), whose sum is σ = 295142160844800. Its totient is φ = 52428850088832.

The previous prime is 131123204401213. The next prime is 131123204401243. The reversal of 131123204401240 is 42104402321131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131123204401199 and 131123204401208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123204401243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132041969 + ... + 1132157791.

It is an arithmetic number, because the mean of its divisors is an integer number (4611596263200).

Almost surely, 2131123204401240 is an apocalyptic number.

131123204401240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131123204401240 is an abundant number, since it is smaller than the sum of its proper divisors (164018956443560).

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

131123204401240 is a wasteful number, since it uses less digits than its factorization.

131123204401240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126616 (or 126612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131123204401240 its reverse (42104402321131), we get a palindrome (173227606722371).

The spelling of 131123204401240 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, two hundred four million, four hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4519 6263 9038 12526 18076 22595 25052 31315 36152 45190 50104 62630 90380 115823 125260 180760 231646 250520 463292 579115 926584 1158230 2316460 4632920 28302497 56604994 113209988 141512485 226419976 283024970 523404137 566049940 725399449 1046808274 1132099880 1450798898 2093616548 2617020685 2901597796 3626997245 4187233096 5234041370 5803195592 7253994490 10468082740 14507988980 20936165480 29015977960 3278080110031 6556160220062 13112320440124 16390400550155 26224640880248 32780801100310 65561602200620 131123204401240