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122600113 is a prime number
BaseRepresentation
bin1110100111010…
…11101010110001
322112200201201221
413103223222301
5222341200423
620055425041
73016040506
oct723535261
9275621657
10122600113
1163228309
1235085181
131c52755c
14123d54ad
15ab6ae5d
hex74ebab1

122600113 has 2 divisors, whose sum is σ = 122600114. Its totient is φ = 122600112.

The previous prime is 122600089. The next prime is 122600117. The reversal of 122600113 is 311006221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71791729 + 50808384 = 8473^2 + 7128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122600113 is a prime.

It is a super-2 number, since 2×1226001132 = 30061575415225538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122600117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61300056 + 61300057.

It is an arithmetic number, because the mean of its divisors is an integer number (61300057).

Almost surely, 2122600113 is an apocalyptic number.

It is an amenable number.

122600113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122600113 is an equidigital number, since it uses as much as digits as its factorization.

122600113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 122600113 is about 11072.4935312693. The cubic root of 122600113 is about 496.7794513370.

Adding to 122600113 its reverse (311006221), we get a palindrome (433606334).

The spelling of 122600113 in words is "one hundred twenty-two million, six hundred thousand, one hundred thirteen".