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131553336400450 = 25219534549574363
BaseRepresentation
bin11101111010010110100101…
…111000101001101001000010
3122020210101011012111022010021
4131322112211320221221002
5114220332213104303300
61143442433551524054
736465262212232006
oct3572264570515102
9566711135438107
10131553336400450
1138a0a50289a708
1212907b0222962a
135853570a26b53
14246b3032cc706
15103200e17ad1a
hex77a5a5e29a42

131553336400450 has 96 divisors (see below), whose sum is σ = 262485496728000. Its totient is φ = 48900353598720.

The previous prime is 131553336400433. The next prime is 131553336400517. The reversal of 131553336400450 is 54004633355131.

It is a junction number, because it is equal to n+sod(n) for n = 131553336400397 and 131553336400406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228754969 + ... + 229329331.

It is an arithmetic number, because the mean of its divisors is an integer number (2734223924250).

Almost surely, 2131553336400450 is an apocalyptic number.

131553336400450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131553336400450 is a deficient number, since it is larger than the sum of its proper divisors (130932160327550).

131553336400450 is a wasteful number, since it uses less digits than its factorization.

131553336400450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578996 (or 578991 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 43.

Adding to 131553336400450 its reverse (54004633355131), we get a palindrome (185557969755581).

The spelling of 131553336400450 in words is "one hundred thirty-one trillion, five hundred fifty-three billion, three hundred thirty-six million, four hundred thousand, four hundred fifty".

Divisors: 1 2 5 10 19 25 38 50 53 95 106 190 265 475 530 950 1007 1325 2014 2650 4549 5035 9098 10070 22745 25175 45490 50350 86431 113725 172862 227450 241097 432155 482194 574363 864310 1148726 1205485 2160775 2410970 2871815 4321550 4580843 5743630 6027425 9161686 10912897 12054850 14359075 21825794 22904215 28718150 30441239 45808430 54564485 60882478 109128970 114521075 152206195 229042150 272822425 304412390 545644850 578383541 761030975 1156767082 1522061950 2612777287 2891917705 5225554574 5783835410 13063886435 14459588525 26127772870 28919177050 49642768453 65319432175 99285536906 130638864350 138477196211 248213842265 276954392422 496427684530 692385981055 1241069211325 1384771962110 2482138422650 2631066728009 3461929905275 5262133456018 6923859810550 13155333640045 26310667280090 65776668200225 131553336400450