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131413342020021 = 32176093714095061
BaseRepresentation
bin11101111000010100001101…
…100100011110000110110101
3122020021222210202100220222100
4131320110031210132012311
5114211034011024120041
61143254242250252313
736452205056516205
oct3570241544360665
9566258722326870
10131413342020021
11389660a36a4646
12128a4952427099
1358432c0381959
142464622724405
15102d568bb96b6
hex77850d91e1b5

131413342020021 has 24 divisors (see below), whose sum is σ = 200988423828504. Its totient is φ = 82454071311360.

The previous prime is 131413342020007. The next prime is 131413342020029. The reversal of 131413342020021 is 120020243314131.

131413342020021 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 33 + 420 + 200 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24812652312900 + 106600689707121 = 4981230^2 + 10324761^2 .

It is not a de Polignac number, because 131413342020021 - 214 = 131413342003637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413342020029) 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, 2275831 + ... + 16370891.

It is an arithmetic number, because the mean of its divisors is an integer number (8374517659521).

Almost surely, 2131413342020021 is an apocalyptic number.

It is an amenable number.

131413342020021 is a deficient number, since it is larger than the sum of its proper divisors (69575081808483).

131413342020021 is a wasteful number, since it uses less digits than its factorization.

131413342020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14156021 (or 14156018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131413342020021 its reverse (120020243314131), we get a palindrome (251433585334152).

The spelling of 131413342020021 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred forty-two million, twenty thousand, twenty-one".

Divisors: 1 3 9 17 51 153 60937 182811 548433 1035929 3107787 9323361 14095061 42285183 126855549 239616037 718848111 2156544333 858910732157 2576732196471 7730196589413 14601482446669 43804447340007 131413342020021