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10361104997 is a prime number
BaseRepresentation
bin10011010011001000…
…11110101001100101
3222202002020200001112
421221210132221211
5132204420324442
64432042234405
7514520640125
oct115144365145
928662220045
1010361104997
1144376345a1
122011ab5a05
13c91761179
147040c0c85
1540993c082
hex26991ea65

10361104997 has 2 divisors, whose sum is σ = 10361104998. Its totient is φ = 10361104996.

The previous prime is 10361104979. The next prime is 10361105009. The reversal of 10361104997 is 79940116301.

10361104997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10361104979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8713475716 + 1647629281 = 93346^2 + 40591^2 .

It is a cyclic number.

It is not a de Polignac number, because 10361104997 - 212 = 10361100901 is a prime.

It is a super-3 number, since 3×103611049973 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10361104907) 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, 5180552498 + 5180552499.

It is an arithmetic number, because the mean of its divisors is an integer number (5180552499).

Almost surely, 210361104997 is an apocalyptic number.

It is an amenable number.

10361104997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10361104997 is an equidigital number, since it uses as much as digits as its factorization.

10361104997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 41.

The spelling of 10361104997 in words is "ten billion, three hundred sixty-one million, one hundred four thousand, nine hundred ninety-seven".