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313332085087841 is a prime number
BaseRepresentation
bin100011100111110010100111…
…1101000001101111001100001
31112002102020212202010111001102
41013033211033220031321201
5312032113102240302331
63030222434524444145
7122666332110101231
oct10717451750157141
91462366782114042
10313332085087841
1190923433532936
122b185a353a9655
13105ab1202503c1
1457534d4cd1cc1
15263574739c4cb
hex11cf94fa0de61

313332085087841 has 2 divisors, whose sum is σ = 313332085087842. Its totient is φ = 313332085087840.

The previous prime is 313332085087799. The next prime is 313332085087883. The reversal of 313332085087841 is 148780580233313.

It is a balanced prime because it is at equal distance from previous prime (313332085087799) and next prime (313332085087883).

It can be written as a sum of positive squares in only one way, i.e., 255824190195025 + 57507894892816 = 15994505^2 + 7583396^2 .

It is a cyclic number.

It is not a de Polignac number, because 313332085087841 - 210 = 313332085086817 is a prime.

It is not a weakly prime, because it can be changed into another prime (313332085587841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156666042543920 + 156666042543921.

It is an arithmetic number, because the mean of its divisors is an integer number (156666042543921).

Almost surely, 2313332085087841 is an apocalyptic number.

It is an amenable number.

313332085087841 is a deficient number, since it is larger than the sum of its proper divisors (1).

313332085087841 is an equidigital number, since it uses as much as digits as its factorization.

313332085087841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 313332085087841 in words is "three hundred thirteen trillion, three hundred thirty-two billion, eighty-five million, eighty-seven thousand, eight hundred forty-one".