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113102230113 = 3217097353373
BaseRepresentation
bin110100101010101101…
…0110001001001100001
3101210221021210121001200
41221111122301021201
53323113132330423
6123543005151413
711112531044055
oct1512532611141
9353837717050
10113102230113
1143a6a295554
1219b0585b569
13a886126022
14568d1dbc65
152e1e631d43
hex1a556b1261

113102230113 has 12 divisors (see below), whose sum is σ = 163465504020. Its totient is φ = 75357356256.

The previous prime is 113102230099. The next prime is 113102230127. The reversal of 113102230113 is 311032201311.

113102230113 is a `hidden beast` number, since 11 + 310 + 2 + 230 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (113102230099) and next prime (113102230127).

It can be written as a sum of positive squares in 2 ways, for example, as 68527197729 + 44575032384 = 261777^2 + 211128^2 .

It is not a de Polignac number, because 113102230113 - 25 = 113102230081 is a prime.

It is a super-2 number, since 2×1131022301132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113102230513) 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 in 11 ways as a sum of consecutive naturals, for example, 3661306 + ... + 3692067.

It is an arithmetic number, because the mean of its divisors is an integer number (13622125335).

Almost surely, 2113102230113 is an apocalyptic number.

It is an amenable number.

113102230113 is a deficient number, since it is larger than the sum of its proper divisors (50363273907).

113102230113 is a wasteful number, since it uses less digits than its factorization.

113102230113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355088 (or 7355085 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113102230113 its reverse (311032201311), we get a palindrome (424134431424).

The spelling of 113102230113 in words is "one hundred thirteen billion, one hundred two million, two hundred thirty thousand, one hundred thirteen".

Divisors: 1 3 9 1709 5127 15381 7353373 22060119 66180357 12566914457 37700743371 113102230113