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131141340210032 = 24191181365271793
BaseRepresentation
bin11101110100010110111000…
…111111111010001101110000
3122012022222201110222022112122
4131310112320333322031300
5114142104431043210112
61142525255555413412
736423435443341625
oct3564267077721560
9565288643868478
10131141340210032
1138870803778959
12128600a15b4268
135823762c88ca9
1424553bbc2034c
151026449515872
hex7745b8ffa370

131141340210032 has 40 divisors (see below), whose sum is σ = 267685781514960. Its totient is φ = 62066982896640.

The previous prime is 131141340210007. The next prime is 131141340210061. The reversal of 131141340210032 is 230012043141131.

It is a super-2 number, since 2×1311413402100322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131141340209983 and 131141340210010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182276873 + ... + 182994920.

It is an arithmetic number, because the mean of its divisors is an integer number (6692144537874).

Almost surely, 2131141340210032 is an apocalyptic number.

It is an amenable number.

131141340210032 is an abundant number, since it is smaller than the sum of its proper divisors (136544441304928).

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

131141340210032 is a wasteful number, since it uses less digits than its factorization.

131141340210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365273001 (or 365272995 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131141340210032 its reverse (230012043141131), we get a palindrome (361153383351163).

The spelling of 131141340210032 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 1181 2362 4724 9448 18896 22439 44878 89756 179512 359024 365271793 730543586 1461087172 2922174344 5844348688 6940164067 13880328134 27760656268 55521312536 111042625072 431385987533 862771975066 1725543950132 3451087900264 6902175800528 8196333763127 16392667526254 32785335052508 65570670105016 131141340210032