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131214304001021 = 29173100357260609
BaseRepresentation
bin11101110101011010110101…
…111110101011101111111101
3122012120222001110012221022212
4131311122311332223233331
5114144303343311013041
61143023004042550205
736431630526335423
oct3565326576535775
9565528043187285
10131214304001021
1138899745949a6a
1212872264b08365
13582a5c044aa07
142458b402d5113
1510282b9e168eb
hex7756b5fabbfd

131214304001021 has 16 divisors (see below), whose sum is σ = 136525437543600. Its totient is φ = 125955624173568.

The previous prime is 131214304000973. The next prime is 131214304001041. The reversal of 131214304001021 is 120100403412131.

It can be written as a sum of positive squares in 8 ways, for example, as 12110476560121 + 119103827440900 = 3480011^2 + 10913470^2 .

It is a cyclic number.

It is not a de Polignac number, because 131214304001021 - 234 = 131197124131837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214304001041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503360765 + ... + 503621373.

It is an arithmetic number, because the mean of its divisors is an integer number (8532839846475).

Almost surely, 2131214304001021 is an apocalyptic number.

It is an amenable number.

131214304001021 is a deficient number, since it is larger than the sum of its proper divisors (5311133542579).

131214304001021 is a wasteful number, since it uses less digits than its factorization.

131214304001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361168.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 131214304001021 its reverse (120100403412131), we get a palindrome (251314707413152).

The spelling of 131214304001021 in words is "one hundred thirty-one trillion, two hundred fourteen billion, three hundred four million, one thousand, twenty-one".

Divisors: 1 29 173 5017 100357 260609 2910353 7557661 17361761 45085357 503491069 1307475353 26153937413 758464184977 4524631172449 131214304001021