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22101102553 is a prime number
BaseRepresentation
bin10100100101010101…
…000000111111011001
32010001021010100002211
4110211111000333121
5330230340240203
614053023155121
71411454162215
oct244525007731
963037110084
1022101102553
119411550512
124349745aa1
132112a9059a
1410d937b945
1589544ec6d
hex525540fd9

22101102553 has 2 divisors, whose sum is σ = 22101102554. Its totient is φ = 22101102552.

The previous prime is 22101102511. The next prime is 22101102571. The reversal of 22101102553 is 35520110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15313320009 + 6787782544 = 123747^2 + 82388^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101102553 - 217 = 22100971481 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101102053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050551276 + 11050551277.

It is an arithmetic number, because the mean of its divisors is an integer number (11050551277).

Almost surely, 222101102553 is an apocalyptic number.

It is an amenable number.

22101102553 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101102553 is an equidigital number, since it uses as much as digits as its factorization.

22101102553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 22101102553 its reverse (35520110122), we get a palindrome (57621212675).

The spelling of 22101102553 in words is "twenty-two billion, one hundred one million, one hundred two thousand, five hundred fifty-three".