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2013123 = 37175639
BaseRepresentation
bin111101011011111000011
310210021111010
413223133003
51003404443
6111052003
723053110
oct7533703
93707433
102013123
111155542
12811003
135563c8
143a5907
1529b733
hex1eb7c3

2013123 has 16 divisors (see below), whose sum is σ = 3248640. Its totient is φ = 1082496.

The previous prime is 2013119. The next prime is 2013127. The reversal of 2013123 is 3213102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013119) and next prime (2013127).

It is not a de Polignac number, because 2013123 - 22 = 2013119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013099 and 2013108.

It is not an unprimeable number, because it can be changed into a prime (2013127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (203040).

22013123 is an apocalyptic number.

2013123 is a deficient number, since it is larger than the sum of its proper divisors (1235517).

2013123 is a wasteful number, since it uses less digits than its factorization.

2013123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2013123 is about 1418.8456575682. The cubic root of 2013123 is about 126.2670702011.

Adding to 2013123 its reverse (3213102), we get a palindrome (5226225).

The spelling of 2013123 in words is "two million, thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 17 21 51 119 357 5639 16917 39473 95863 118419 287589 671041 2013123