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32312013 = 3311572213
BaseRepresentation
bin111101101000…
…0101011001101
32020210121202020
41323100223031
531232441023
63112320353
7541435056
oct173205315
966717666
1032312013
111726a548
12a9a30b9
136904446
14441172d
152c83de3
hex1ed0acd

32312013 has 16 divisors (see below), whose sum is σ = 44775936. Its totient is φ = 20704320.

The previous prime is 32312009. The next prime is 32312017. The reversal of 32312013 is 31021323.

It is an interprime number because it is at equal distance from previous prime (32312009) and next prime (32312017).

It is not a de Polignac number, because 32312013 - 22 = 32312009 is a prime.

It is a super-2 number, since 2×323120132 = 2088132368224338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32311983 and 32312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32312017) 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, 13495 + ... + 15707.

It is an arithmetic number, because the mean of its divisors is an integer number (2798496).

Almost surely, 232312013 is an apocalyptic number.

It is an amenable number.

32312013 is a deficient number, since it is larger than the sum of its proper divisors (12463923).

32312013 is a wasteful number, since it uses less digits than its factorization.

32312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 32312013 is about 5684.3656638186. The cubic root of 32312013 is about 318.5087284545.

Adding to 32312013 its reverse (31021323), we get a palindrome (63333336).

The spelling of 32312013 in words is "thirty-two million, three hundred twelve thousand, thirteen".

Divisors: 1 3 31 93 157 471 2213 4867 6639 14601 68603 205809 347441 1042323 10770671 32312013