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22101677677 is a prime number
BaseRepresentation
bin10100100101010111…
…001101011001101101
32010001022012120000201
4110211113031121231
5330231012141202
614053043353501
71411462106032
oct244527153155
963038176021
1022101677677
119411903622
124349982891
132112c322b1
1410d948b389
15895515387
hex5255cd66d

22101677677 has 2 divisors, whose sum is σ = 22101677678. Its totient is φ = 22101677676.

The previous prime is 22101677657. The next prime is 22101677687. The reversal of 22101677677 is 77677610122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15290311716 + 6811365961 = 123654^2 + 82531^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101677677 - 227 = 21967459949 is a prime.

It is a super-2 number, since 2×221016776772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101677657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050838838 + 11050838839.

It is an arithmetic number, because the mean of its divisors is an integer number (11050838839).

Almost surely, 222101677677 is an apocalyptic number.

It is an amenable number.

22101677677 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101677677 is an equidigital number, since it uses as much as digits as its factorization.

22101677677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345744, while the sum is 46.

The spelling of 22101677677 in words is "twenty-two billion, one hundred one million, six hundred seventy-seven thousand, six hundred seventy-seven".