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221023312031377 is a prime number
BaseRepresentation
bin110010010000010100000000…
…000000000010111010010001
31001222120121210122012212212201
4302100110000000002322101
5212432221220340001002
62102024412515523201
764361256500154502
oct6220240000027221
91058517718185781
10221023312031377
1164474507637509
122095796bbb9501
13964354144b74b
143c8182a3dcba9
151a844cc085087
hexc90500002e91

221023312031377 has 2 divisors, whose sum is σ = 221023312031378. Its totient is φ = 221023312031376.

The previous prime is 221023312031287. The next prime is 221023312031393. The reversal of 221023312031377 is 773130213320122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208936501892496 + 12086810138881 = 14454636^2 + 3476609^2 .

It is a cyclic number.

It is not a de Polignac number, because 221023312031377 - 247 = 80285823676049 is a prime.

It is a super-2 number, since 2×2210233120313772 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221023312031177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110511656015688 + 110511656015689.

It is an arithmetic number, because the mean of its divisors is an integer number (110511656015689).

Almost surely, 2221023312031377 is an apocalyptic number.

It is an amenable number.

221023312031377 is a deficient number, since it is larger than the sum of its proper divisors (1).

221023312031377 is an equidigital number, since it uses as much as digits as its factorization.

221023312031377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 37.

Adding to 221023312031377 its reverse (773130213320122), we get a palindrome (994153525351499).

The spelling of 221023312031377 in words is "two hundred twenty-one trillion, twenty-three billion, three hundred twelve million, thirty-one thousand, three hundred seventy-seven".