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10226742373 is a prime number
BaseRepresentation
bin10011000011000111…
…11011010001100101
3222101201102100012001
421201203323101211
5131421021223443
64410442325301
7511266606301
oct114143732145
928351370161
1010226742373
114378802a01
121b94ab9831
13c6c978a63
146d0306d01
153ecc4ad4d
hex2618fb465

10226742373 has 2 divisors, whose sum is σ = 10226742374. Its totient is φ = 10226742372.

The previous prime is 10226742349. The next prime is 10226742401. The reversal of 10226742373 is 37324762201.

10226742373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5925612484 + 4301129889 = 76978^2 + 65583^2 .

It is a cyclic number.

It is not a de Polignac number, because 10226742373 - 225 = 10193187941 is a prime.

It is a super-2 number, since 2×102267423732 (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 (10226740373) 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, 5113371186 + 5113371187.

It is an arithmetic number, because the mean of its divisors is an integer number (5113371187).

Almost surely, 210226742373 is an apocalyptic number.

It is an amenable number.

10226742373 is a deficient number, since it is larger than the sum of its proper divisors (1).

10226742373 is an equidigital number, since it uses as much as digits as its factorization.

10226742373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 10226742373 in words is "ten billion, two hundred twenty-six million, seven hundred forty-two thousand, three hundred seventy-three".