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22105370753 is a prime number
BaseRepresentation
bin10100100101100101…
…010011000010000001
32010001120011011222022
4110211211103002001
5330232433331003
614053254451225
71411535360024
oct244545230201
963046134868
1022105370753
1194139a6254
12434b063b15
13211392624b
1410d9b6d1bb
158959e4738
hex525953081

22105370753 has 2 divisors, whose sum is σ = 22105370754. Its totient is φ = 22105370752.

The previous prime is 22105370737. The next prime is 22105370779. The reversal of 22105370753 is 35707350122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22065022849 + 40347904 = 148543^2 + 6352^2 .

It is a cyclic number.

It is not a de Polignac number, because 22105370753 - 24 = 22105370737 is a prime.

It is a super-3 number, since 3×221053707533 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22105370153) 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, 11052685376 + 11052685377.

It is an arithmetic number, because the mean of its divisors is an integer number (11052685377).

Almost surely, 222105370753 is an apocalyptic number.

It is an amenable number.

22105370753 is a deficient number, since it is larger than the sum of its proper divisors (1).

22105370753 is an equidigital number, since it uses as much as digits as its factorization.

22105370753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 22105370753 in words is "twenty-two billion, one hundred five million, three hundred seventy thousand, seven hundred fifty-three".