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131032032220404 = 2232723947216111047
BaseRepresentation
bin11101110010110001000101…
…101111000001010011110100
3122011221112120121201002221100
4131302301011233001103310
5114133312100222023104
61142403141250050100
736412515623635260
oct3562610557012364
9564845517632840
10131032032220404
1138829411210447
1212842a76579930
135816362c619a3
14244ddac8d50a0
15102369d063139
hex772c45bc14f4

131032032220404 has 288 divisors, whose sum is σ = 395630999801856. Its totient is φ = 35752392023040.

The previous prime is 131032032220391. The next prime is 131032032220447. The reversal of 131032032220404 is 404022230230131.

131032032220404 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 2 + 0 + 32 + 220 + 404 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11861317209 + ... + 11861328255.

It is an arithmetic number, because the mean of its divisors is an integer number (1373718749312).

Almost surely, 2131032032220404 is an apocalyptic number.

131032032220404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131032032220404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197815499900928).

131032032220404 is an abundant number, since it is smaller than the sum of its proper divisors (264598967581452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131032032220404 is a wasteful number, since it uses less digits than its factorization.

131032032220404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14195 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131032032220404 its reverse (404022230230131), we get a palindrome (535054262450535).

The spelling of 131032032220404 in words is "one hundred thirty-one trillion, thirty-two billion, thirty-two million, two hundred twenty thousand, four hundred four".