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131342223210021 = 32413078231408769
BaseRepresentation
bin11101110111010001111110…
…100011101111011000100101
3122020001012020100210001022100
4131313101332203233120211
5114203402333120210041
61143201441231322313
736444106505561625
oct3567217643573045
9566035210701270
10131342223210021
1138938a18a1000a
1212893004980399
1358396981cba65
142460dd72b4885
15102b7a52596b6
hex77747e8ef625

131342223210021 has 48 divisors (see below), whose sum is σ = 195213867488640. Its totient is φ = 85044055818240.

The previous prime is 131342223210007. The next prime is 131342223210047. The reversal of 131342223210021 is 120012322243131.

131342223210021 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 422 + 2 + 3 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 131342223210021 - 213 = 131342223201829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131342223210061) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 92527525 + ... + 93936293.

It is an arithmetic number, because the mean of its divisors is an integer number (4066955572680).

Almost surely, 2131342223210021 is an apocalyptic number.

It is an amenable number.

131342223210021 is a deficient number, since it is larger than the sum of its proper divisors (63871644278619).

131342223210021 is a wasteful number, since it uses less digits than its factorization.

131342223210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409946 (or 1409943 counting only the distinct ones).

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

Adding to 131342223210021 its reverse (120012322243131), we get a palindrome (251354545453152).

The spelling of 131342223210021 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred twenty-three million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 41 123 307 369 823 921 2469 2763 7407 12587 33743 37761 101229 113283 252661 303687 757983 1408769 2273949 4226307 10359101 12678921 31077303 57759529 93231909 173278587 432492083 519835761 1159416887 1297476249 3478250661 3892428747 10434751983 17732175403 47536092367 53196526209 142608277101 159589578627 355940984309 427824831303 1067822952927 3203468858781 14593580356669 43780741070007 131342223210021