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131201321131431 = 33139288071213561
BaseRepresentation
bin11101110101001110110000…
…001000111101110110100111
3122012112201112122122211101000
4131311032300020331312213
5114144100301202201211
61143013015503004343
736430661021635605
oct3565166010756647
9565481478584330
10131201321131431
1138894193404981
121286b840b996b3
135829301796265
14245826bd48875
151027caa24a656
hex7753b023dda7

131201321131431 has 32 divisors (see below), whose sum is σ = 195777646937600. Its totient is φ = 86835198450240.

The previous prime is 131201321131427. The next prime is 131201321131469. The reversal of 131201321131431 is 134131123102131.

131201321131431 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 13 + 211 + 3 + 1 + 431 = 666.

It is not a de Polignac number, because 131201321131431 - 22 = 131201321131427 is a prime.

It is a super-2 number, since 2×1312013211314312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131201321131395 and 131201321131404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201321131421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107505891 + ... + 108719451.

It is an arithmetic number, because the mean of its divisors is an integer number (6118051466800).

Almost surely, 2131201321131431 is an apocalyptic number.

131201321131431 is a deficient number, since it is larger than the sum of its proper divisors (64576325806169).

131201321131431 is a wasteful number, since it uses less digits than its factorization.

131201321131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242516 (or 1242510 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 131201321131431 its reverse (134131123102131), we get a palindrome (265332444233562).

The spelling of 131201321131431 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty-one million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 139 417 1251 3753 28807 86421 259263 777789 1213561 3640683 4004173 10922049 12012519 32766147 36037557 108112671 168684979 506054937 1518164811 4554494433 34959051727 104877155181 314631465543 943894396629 4859308190053 14577924570159 43733773710477 131201321131431