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10415223617 is a prime number
BaseRepresentation
bin10011011001100101…
…11011001101000001
3222212212002011211212
421230302323031001
5132312244123432
64441254215505
7516045640301
oct115462731501
928785064755
1010415223617
114465138727
122028054595
13c9ca2c116
1470b36b601
1540e57c2b2
hex26ccbb341

10415223617 has 2 divisors, whose sum is σ = 10415223618. Its totient is φ = 10415223616.

The previous prime is 10415223613. The next prime is 10415223619. The reversal of 10415223617 is 71632251401.

10415223617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10293319936 + 121903681 = 101456^2 + 11041^2 .

It is a cyclic number.

It is not a de Polignac number, because 10415223617 - 22 = 10415223613 is a prime.

It is a super-2 number, since 2×104152236172 (a number of 21 digits) contains 22 as substring.

Together with 10415223619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10415223613) 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, 5207611808 + 5207611809.

It is an arithmetic number, because the mean of its divisors is an integer number (5207611809).

Almost surely, 210415223617 is an apocalyptic number.

It is an amenable number.

10415223617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10415223617 is an equidigital number, since it uses as much as digits as its factorization.

10415223617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 10415223617 in words is "ten billion, four hundred fifteen million, two hundred twenty-three thousand, six hundred seventeen".