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112001013 = 3212444557
BaseRepresentation
bin1101010110011…
…11111111110101
321210202020111200
412223033333311
5212133013023
615040323113
72526664365
oct653177765
9253666450
10112001013
1158249023
1231613499
131a2860b7
1410c369a5
159c75743
hex6acfff5

112001013 has 6 divisors (see below), whose sum is σ = 161779254. Its totient is φ = 74667336.

The previous prime is 112001011. The next prime is 112001017. The reversal of 112001013 is 310100211.

It can be written as a sum of positive squares in only one way, i.e., 111894084 + 106929 = 10578^2 + 327^2 .

It is not a de Polignac number, because 112001013 - 21 = 112001011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12444557 = 112001013 / (1 + 1 + 2 + 0 + 0 + 1 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 112000986 and 112001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6222270 + ... + 6222287.

It is an arithmetic number, because the mean of its divisors is an integer number (26963209).

Almost surely, 2112001013 is an apocalyptic number.

It is an amenable number.

112001013 is a deficient number, since it is larger than the sum of its proper divisors (49778241).

112001013 is a wasteful number, since it uses less digits than its factorization.

112001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12444563 (or 12444560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 112001013 is about 10583.0531039015. The cubic root of 112001013 is about 482.0299060891.

Adding to 112001013 its reverse (310100211), we get a palindrome (422101224).

The spelling of 112001013 in words is "one hundred twelve million, one thousand, thirteen".

Divisors: 1 3 9 12444557 37333671 112001013