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31222317904961 is a prime number
BaseRepresentation
bin1110001100101100000110…
…01010101111010001000001
311002112211021000110220120012
413012112003022233101001
513043021301340424321
6150223200153554305
76401511100222451
oct706260312572101
9132484230426505
1031222317904961
119a483465474a7
123603117115995
1314563376a5681
1479d24d969d61
1539226de8c05b
hex1c65832af441

31222317904961 has 2 divisors, whose sum is σ = 31222317904962. Its totient is φ = 31222317904960.

The previous prime is 31222317904919. The next prime is 31222317904963. The reversal of 31222317904961 is 16940971322213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16492695654400 + 14729622250561 = 4061120^2 + 3837919^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31222317904961 is a prime.

Together with 31222317904963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31222317904963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15611158952480 + 15611158952481.

It is an arithmetic number, because the mean of its divisors is an integer number (15611158952481).

Almost surely, 231222317904961 is an apocalyptic number.

It is an amenable number.

31222317904961 is a deficient number, since it is larger than the sum of its proper divisors (1).

31222317904961 is an equidigital number, since it uses as much as digits as its factorization.

31222317904961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 31222317904961 in words is "thirty-one trillion, two hundred twenty-two billion, three hundred seventeen million, nine hundred four thousand, nine hundred sixty-one".