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113100193 is a prime number
BaseRepresentation
bin1101011110111…
…00010110100001
321212211002022001
412233130112201
5212423201233
615120044001
72542223113
oct657342641
9255732261
10113100193
1158929938
1231a63601
131a57c4bb
14110413b3
159de127d
hex6bdc5a1

113100193 has 2 divisors, whose sum is σ = 113100194. Its totient is φ = 113100192.

The previous prime is 113100187. The next prime is 113100241. The reversal of 113100193 is 391001311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88962624 + 24137569 = 9432^2 + 4913^2 .

It is a cyclic number.

It is not a de Polignac number, because 113100193 - 217 = 112969121 is a prime.

It is a super-4 number, since 4×1131001934 (a number of 33 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113100193.

It is not a weakly prime, because it can be changed into another prime (113100593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56550096 + 56550097.

It is an arithmetic number, because the mean of its divisors is an integer number (56550097).

Almost surely, 2113100193 is an apocalyptic number.

It is an amenable number.

113100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

113100193 is an equidigital number, since it uses as much as digits as its factorization.

113100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 113100193 is about 10634.8574508547. The cubic root of 113100193 is about 483.6016589632.

The spelling of 113100193 in words is "one hundred thirteen million, one hundred thousand, one hundred ninety-three".