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113100123 = 3193229853
BaseRepresentation
bin1101011110111…
…00010101011011
321212211002012110
412233130111123
5212423200443
615120043403
72542222653
oct657342533
9255732173
10113100123
1158929884
1231a63563
131a57c466
1411041363
159de1233
hex6bdc55b

113100123 has 16 divisors (see below), whose sum is σ = 152421920. Its totient is φ = 74594304.

The previous prime is 113100107. The next prime is 113100149. The reversal of 113100123 is 321001311.

It is not a de Polignac number, because 113100123 - 24 = 113100107 is a prime.

It is a super-3 number, since 3×1131001233 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113100099 and 113100108.

It is not an unprimeable number, because it can be changed into a prime (113100193) 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 15 ways as a sum of consecutive naturals, for example, 132165 + ... + 133017.

It is an arithmetic number, because the mean of its divisors is an integer number (9526370).

Almost surely, 2113100123 is an apocalyptic number.

113100123 is a deficient number, since it is larger than the sum of its proper divisors (39321797).

113100123 is a wasteful number, since it uses less digits than its factorization.

113100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113100123 is about 10634.8541597899. The cubic root of 113100123 is about 483.6015591929.

Adding to 113100123 its reverse (321001311), we get a palindrome (434101434).

The spelling of 113100123 in words is "one hundred thirteen million, one hundred thousand, one hundred twenty-three".

Divisors: 1 3 193 229 579 687 853 2559 44197 132591 164629 195337 493887 586011 37700041 113100123