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131020214330421 = 32132448614573333
BaseRepresentation
bin11101110010100110000101…
…010101010110010000110101
3122011220102002000021002120100
4131302212011111112100311
5114133113344332033141
61142353504443424313
736411620023345443
oct3562460525262065
9564812060232510
10131020214330421
11388243a7332819
1212840718825099
1358151cb75c590
14244d5ab15db93
15102320a7b60b6
hex772985556435

131020214330421 has 24 divisors (see below), whose sum is σ = 203810099203256. Its totient is φ = 80627477293440.

The previous prime is 131020214330399. The next prime is 131020214330443. The reversal of 131020214330421 is 124033412020131.

131020214330421 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 20 + 214 + 3 + 3 + 0 + 421 = 666.

It is an interprime number because it is at equal distance from previous prime (131020214330399) and next prime (131020214330443).

It can be written as a sum of positive squares in 4 ways, for example, as 38696673042225 + 92323541288196 = 6220665^2 + 9608514^2 .

It is not a de Polignac number, because 131020214330421 - 219 = 131020213806133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020214430421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26362071 + ... + 30935403.

Almost surely, 2131020214330421 is an apocalyptic number.

It is an amenable number.

131020214330421 is a deficient number, since it is larger than the sum of its proper divisors (72789884872835).

131020214330421 is a wasteful number, since it uses less digits than its factorization.

131020214330421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818213 (or 4818210 counting only the distinct ones).

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

Adding to 131020214330421 its reverse (124033412020131), we get a palindrome (255053626350552).

The spelling of 131020214330421 in words is "one hundred thirty-one trillion, twenty billion, two hundred fourteen million, three hundred thirty thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 244861 734583 2203749 3183193 4573333 9549579 13719999 28648737 41159997 59453329 178359987 535079961 1119830891713 3359492675139 10078478025417 14557801592269 43673404776807 131020214330421