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131141122400421 = 33717211193439747
BaseRepresentation
bin11101110100010110101100…
…000001000010000010100101
3122012022222011022010102221000
4131310112230001002002211
5114142104004313303141
61142525222215143513
736423430160110320
oct3564265401020245
9565288138112830
10131141122400421
1138870701831311
1212860040674b99
135823729b07573
14245539ad237b7
15102643533e5b6
hex7745ac0420a5

131141122400421 has 64 divisors (see below), whose sum is σ = 236213145077760. Its totient is φ = 70195415028480.

The previous prime is 131141122400389. The next prime is 131141122400443. The reversal of 131141122400421 is 124004221141131.

131141122400421 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 11 + 224 + 0 + 0 + 421 = 666.

It is not a de Polignac number, because 131141122400421 - 25 = 131141122400389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141122400921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96041931 + ... + 97397816.

It is an arithmetic number, because the mean of its divisors is an integer number (3690830391840).

Almost surely, 2131141122400421 is an apocalyptic number.

It is an amenable number.

131141122400421 is a deficient number, since it is larger than the sum of its proper divisors (105072022677339).

131141122400421 is a wasteful number, since it uses less digits than its factorization.

131141122400421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193439991 (or 193439985 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 131141122400421 its reverse (124004221141131), we get a palindrome (255145343541552).

The spelling of 131141122400421 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-two million, four hundred thousand, four hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 211 357 459 633 1071 1477 1899 3213 3587 4431 5697 10761 13293 25109 32283 39879 75327 96849 225981 677943 193439747 580319241 1354078229 1740957723 3288475699 4062234687 5222873169 9865427097 12186704061 23019329893 29596281291 36560112183 40815786617 69057989679 88788843873 122447359851 207173969037 285710506319 367342079553 621521907111 693868372489 857131518957 1102026238659 2081605117467 2571394556871 4857078607423 6244815352401 7714183670613 14571235822269 18734446057203 43713707466807 131141122400421