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221312314057 is a prime number
BaseRepresentation
bin1100111000011100111…
…1011110101011001001
3210011020122011102012111
43032013033132223021
512111221423022212
6245400334542321
721663216426262
oct3160717365311
9704218142174
10221312314057
118594903919a
1236a850679a1
1317b3c8539b3
14a9d67b1969
155b54513ea7
hex33873deac9

221312314057 has 2 divisors, whose sum is σ = 221312314058. Its totient is φ = 221312314056.

The previous prime is 221312314039. The next prime is 221312314081. The reversal of 221312314057 is 750413213122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167402904201 + 53909409856 = 409149^2 + 232184^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221312314057 is a prime.

It is not a weakly prime, because it can be changed into another prime (221312314757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656157028 + 110656157029.

It is an arithmetic number, because the mean of its divisors is an integer number (110656157029).

Almost surely, 2221312314057 is an apocalyptic number.

It is an amenable number.

221312314057 is a deficient number, since it is larger than the sum of its proper divisors (1).

221312314057 is an equidigital number, since it uses as much as digits as its factorization.

221312314057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 221312314057 its reverse (750413213122), we get a palindrome (971725527179).

The spelling of 221312314057 in words is "two hundred twenty-one billion, three hundred twelve million, three hundred fourteen thousand, fifty-seven".