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112313100213 = 3240930511573
BaseRepresentation
bin110100010011001100…
…0011110011110110101
3101201220021220122100100
41220212120132132311
53320004123201323
6123332415304313
711054136412566
oct1504630363665
9351807818310
10112313100213
11436a48a9586
121992551b099
13a78b7aaa62
1456164a216d
152dc5205943
hex1a2661e7b5

112313100213 has 12 divisors (see below), whose sum is σ = 162626689420. Its totient is φ = 74692328256.

The previous prime is 112313100203. The next prime is 112313100217. The reversal of 112313100213 is 312001313211.

112313100213 is a `hidden beast` number, since 112 + 31 + 310 + 0 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46829825604 + 65483274609 = 216402^2 + 255897^2 .

It is not a de Polignac number, because 112313100213 - 26 = 112313100149 is a prime.

It is a super-2 number, since 2×1123131002132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112313100217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15252106 + ... + 15259467.

Almost surely, 2112313100213 is an apocalyptic number.

It is an amenable number.

112313100213 is a deficient number, since it is larger than the sum of its proper divisors (50313589207).

112313100213 is a wasteful number, since it uses less digits than its factorization.

112313100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30511988 (or 30511985 counting only the distinct ones).

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

Adding to 112313100213 its reverse (312001313211), we get a palindrome (424314413424).

The spelling of 112313100213 in words is "one hundred twelve billion, three hundred thirteen million, one hundred thousand, two hundred thirteen".

Divisors: 1 3 9 409 1227 3681 30511573 91534719 274604157 12479233357 37437700071 112313100213