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221020022122357 is a prime number
BaseRepresentation
bin110010010000010000111011…
…111010000010011101110101
31001222120022022100200012010111
4302100100323322002131311
5212432143001130403412
62102023110233423021
764361112121331143
oct6220207372023565
91058508270605114
10221020022122357
1164473079565137
12209571b226aa71
139643138990513
143c815d74cc593
151a843883272a7
hexc9043be82775

221020022122357 has 2 divisors, whose sum is σ = 221020022122358. Its totient is φ = 221020022122356.

The previous prime is 221020022122337. The next prime is 221020022122373. The reversal of 221020022122357 is 753221220020122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135425680660516 + 85594341461841 = 11637254^2 + 9251721^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221020022122357 is a prime.

It is a super-3 number, since 3×2210200221223573 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221020022122337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510011061178 + 110510011061179.

It is an arithmetic number, because the mean of its divisors is an integer number (110510011061179).

Almost surely, 2221020022122357 is an apocalyptic number.

It is an amenable number.

221020022122357 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020022122357 is an equidigital number, since it uses as much as digits as its factorization.

221020022122357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 221020022122357 its reverse (753221220020122), we get a palindrome (974241242142479).

The spelling of 221020022122357 in words is "two hundred twenty-one trillion, twenty billion, twenty-two million, one hundred twenty-two thousand, three hundred fifty-seven".