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131141101141100 = 22522945221069359
BaseRepresentation
bin11101110100010110101010…
…101111111011110001101100
3122012022222002211010100121202
4131310112222233323301230
5114142103433343003400
61142525220135345032
736423426511314641
oct3564265257736154
9565288084110552
10131141101141100
11388706a0830926
1212860035522178
1358237255a2b9b
14245539818bdc8
1510264335404d5
hex7745aabfbc6c

131141101141100 has 36 divisors (see below), whose sum is σ = 294389161533600. Its totient is φ = 50647597680960.

The previous prime is 131141101141009. The next prime is 131141101141217. The reversal of 131141101141100 is 1141101141131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22610531780 + ... + 22610537579.

Almost surely, 2131141101141100 is an apocalyptic number.

131141101141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141101141100 is an abundant number, since it is smaller than the sum of its proper divisors (163248060392500).

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

131141101141100 is a wasteful number, since it uses less digits than its factorization.

131141101141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45221069402 (or 45221069395 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 131141101141100 its reverse (1141101141131), we get a palindrome (132282202282231).

The spelling of 131141101141100 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred one million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 45221069359 90442138718 180884277436 226105346795 452210693590 904421387180 1130526733975 1311411011411 2261053467950 2622822022822 4522106935900 5245644045644 6557055057055 13114110114110 26228220228220 32785275285275 65570550570550 131141101141100