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226264761101053 is a prime number
BaseRepresentation
bin110011011100100101011110…
…101101011110101011111101
31002200010200220020100121012001
4303130211132231132223331
5214124110212320213203
62121120332443542301
765442042465151453
oct6334453655365375
91080120806317161
10226264761101053
1166105389a27754
122146376282a991
1399338a1b839bc
143dc33b6a7a9d3
151b259eba4b91d
hexcdc95eb5eafd

226264761101053 has 2 divisors, whose sum is σ = 226264761101054. Its totient is φ = 226264761101052.

The previous prime is 226264761101039. The next prime is 226264761101059. The reversal of 226264761101053 is 350101167462622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185163865745049 + 41100895356004 = 13607493^2 + 6410998^2 .

It is a cyclic number.

It is not a de Polignac number, because 226264761101053 - 221 = 226264759003901 is a prime.

It is a super-2 number, since 2×2262647611010532 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226264761100994 and 226264761101012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226264761101059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113132380550526 + 113132380550527.

It is an arithmetic number, because the mean of its divisors is an integer number (113132380550527).

Almost surely, 2226264761101053 is an apocalyptic number.

It is an amenable number.

226264761101053 is a deficient number, since it is larger than the sum of its proper divisors (1).

226264761101053 is an equidigital number, since it uses as much as digits as its factorization.

226264761101053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 226264761101053 in words is "two hundred twenty-six trillion, two hundred sixty-four billion, seven hundred sixty-one million, one hundred one thousand, fifty-three".