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131401827221 = 743210152347
BaseRepresentation
bin111101001100000101…
…0001100001110010101
3110120011121201110001112
41322120022030032111
54123102331432341
6140210513104405
712331155050120
oct1723012141625
9416147643045
10131401827221
11507aa9a6725
1221572258105
13c511442bb2
1465077353b7
153640e69aeb
hex1e9828c395

131401827221 has 12 divisors (see below), whose sum is σ = 153747158112. Its totient is φ = 110010821256.

The previous prime is 131401827203. The next prime is 131401827223. The reversal of 131401827221 is 122728104131.

It is a de Polignac number, because none of the positive numbers 2k-131401827221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131401827223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5063231 + ... + 5089116.

It is an arithmetic number, because the mean of its divisors is an integer number (12812263176).

Almost surely, 2131401827221 is an apocalyptic number.

It is an amenable number.

131401827221 is a deficient number, since it is larger than the sum of its proper divisors (22345330891).

131401827221 is an equidigital number, since it uses as much as digits as its factorization.

131401827221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152440 (or 10152397 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 131401827221 in words is "one hundred thirty-one billion, four hundred one million, eight hundred twenty-seven thousand, two hundred twenty-one".

Divisors: 1 7 43 301 1849 12943 10152347 71066429 436550921 3055856447 18771689603 131401827221