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131421112024401 = 3228576205782361
BaseRepresentation
bin11101111000011011011100…
…101100101011110101010001
3122020022201212021000001012100
4131320123130230223311101
5114211200414134240101
61143302005252351013
736452601445462203
oct3570333454536521
9566281767001170
10131421112024401
1138969420661971
12128a6360615469
135843c5b067794
142464b5c63c773
15102d870dd2e86
hex7786dcb2bd51

131421112024401 has 24 divisors (see below), whose sum is σ = 189902304885384. Its totient is φ = 87580933493760.

The previous prime is 131421112024387. The next prime is 131421112024481. The reversal of 131421112024401 is 104420211124131.

131421112024401 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 1 + 11 + 202 + 440 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25693341699600 + 105727770324801 = 5068860^2 + 10282401^2 .

It is not a de Polignac number, because 131421112024401 - 26 = 131421112024337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131421112024481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1595630461 + ... + 1595712821.

It is an arithmetic number, because the mean of its divisors is an integer number (7912596036891).

Almost surely, 2131421112024401 is an apocalyptic number.

It is an amenable number.

131421112024401 is a deficient number, since it is larger than the sum of its proper divisors (58481192860983).

131421112024401 is a wasteful number, since it uses less digits than its factorization.

131421112024401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147281 (or 147278 counting only the distinct ones).

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

Adding to 131421112024401 its reverse (104420211124131), we get a palindrome (235841323148532).

The spelling of 131421112024401 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, one hundred twelve million, twenty-four thousand, four hundred one".

Divisors: 1 3 9 2857 8571 25713 62057 82361 186171 247083 558513 741249 177296849 235305377 531890547 705916131 1595671641 2117748393 5111076577 15333229731 45999689193 14602345780489 43807037341467 131421112024401