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131141340201100 = 22524013270357611
BaseRepresentation
bin11101110100010110111000…
…111111111000000010001100
3122012022222201110221212021211
4131310112320333320002030
5114142104431042413400
61142525255555304204
736423435443303605
oct3564267077700214
9565288643855254
10131141340201100
1138870803772179
12128600a15ab064
135823762c84bc8
1424553bbc1adac
151026449512dba
hex7745b8ff808c

131141340201100 has 36 divisors (see below), whose sum is σ = 285286375925208. Its totient is φ = 52325721760000.

The previous prime is 131141340201097. The next prime is 131141340201107. The reversal of 131141340201100 is 1102043141131.

It is a super-2 number, since 2×1311413402011002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131141340201107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1635138706 + ... + 1635218905.

It is an arithmetic number, because the mean of its divisors is an integer number (7924621553478).

Almost surely, 2131141340201100 is an apocalyptic number.

131141340201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141340201100 is an abundant number, since it is smaller than the sum of its proper divisors (154145035724108).

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

131141340201100 is a wasteful number, since it uses less digits than its factorization.

131141340201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270358026 (or 3270358019 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131141340201100 its reverse (1102043141131), we get a palindrome (132243383342231).

The spelling of 131141340201100 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 401 802 1604 2005 4010 8020 10025 20050 40100 3270357611 6540715222 13081430444 16351788055 32703576110 65407152220 81758940275 163517880550 327035761100 1311413402011 2622826804022 5245653608044 6557067010055 13114134020110 26228268040220 32785335050275 65570670100550 131141340201100