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131010412241400 = 233521025321296273
BaseRepresentation
bin11101110010011100111101…
…000101010110000111111000
3122011212110202212220101021020
4131302130331011112013320
5114132433311013211100
61142345204050542440
736411122101100436
oct3562347505260770
9564773685811236
10131010412241400
11388202273041aa
121283a841b97a20
1358142c8a775c3
14244cd1b3d7d56
151022d34e9d5a0
hex77273d1561f8

131010412241400 has 96 divisors (see below), whose sum is σ = 406171908088560. Its totient is φ = 34932700887040.

The previous prime is 131010412241389. The next prime is 131010412241417. The reversal of 131010412241400 is 4142214010131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4496337 + ... + 16799936.

Almost surely, 2131010412241400 is an apocalyptic number.

131010412241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010412241400 is an abundant number, since it is smaller than the sum of its proper divisors (275161495847160).

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

131010412241400 is a wasteful number, since it uses less digits than its factorization.

131010412241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21306545 (or 21306536 counting only the distinct ones).

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

Adding to 131010412241400 its reverse (4142214010131), we get a palindrome (135152626251531).

The spelling of 131010412241400 in words is "one hundred thirty-one trillion, ten billion, four hundred twelve million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 10253 20506 30759 41012 51265 61518 82024 102530 123036 153795 205060 246072 256325 307590 410120 512650 615180 768975 1025300 1230360 1537950 2050600 3075900 6151800 21296273 42592546 63888819 85185092 106481365 127777638 170370184 212962730 255555276 319444095 425925460 511110552 532406825 638888190 851850920 1064813650 1277776380 1597220475 2129627300 2555552760 3194440950 4259254600 6388881900 12777763800 218350687069 436701374138 655052061207 873402748276 1091753435345 1310104122414 1746805496552 2183506870690 2620208244828 3275260306035 4367013741380 5240416489656 5458767176725 6550520612070 8734027482760 10917534353450 13101041224140 16376301530175 21835068706900 26202082448280 32752603060350 43670137413800 65505206120700 131010412241400