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11257607113 is a prime number
BaseRepresentation
bin10100111110000000…
…10111001111001001
31002001120011200202121
422133000113033021
5141023421411423
65101025331241
7545655036664
oct123700271711
932046150677
1011257607113
114857697935
122222196b21
1310a54016ac
1478b1aa6db
1545d4c745d
hex29f0173c9

11257607113 has 2 divisors, whose sum is σ = 11257607114. Its totient is φ = 11257607112.

The previous prime is 11257607099. The next prime is 11257607147. The reversal of 11257607113 is 31170675211.

It is a happy number.

11257607113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (11257607147) can be obtained adding 11257607113 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8242279369 + 3015327744 = 90787^2 + 54912^2 .

It is a cyclic number.

It is not a de Polignac number, because 11257607113 - 213 = 11257598921 is a prime.

It is not a weakly prime, because it can be changed into another prime (11257605113) 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, 5628803556 + 5628803557.

It is an arithmetic number, because the mean of its divisors is an integer number (5628803557).

Almost surely, 211257607113 is an apocalyptic number.

It is an amenable number.

11257607113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11257607113 is an equidigital number, since it uses as much as digits as its factorization.

11257607113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 11257607113 in words is "eleven billion, two hundred fifty-seven million, six hundred seven thousand, one hundred thirteen".