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32123013 = 3132173727
BaseRepresentation
bin111101010001…
…0100010000101
32020110000111020
41322202202011
531210414023
63104301353
7540020046
oct172424205
966400436
1032123013
111715054a
12a911859
136869400
1443a28cd
152c47de3
hex1ea2885

32123013 has 24 divisors (see below), whose sum is σ = 49120128. Its totient is φ = 18600192.

The previous prime is 32123009. The next prime is 32123023. The reversal of 32123013 is 31032123.

It is not a de Polignac number, because 32123013 - 22 = 32123009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32122983 and 32123001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32123023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6756 + ... + 10482.

It is an arithmetic number, because the mean of its divisors is an integer number (2046672).

Almost surely, 232123013 is an apocalyptic number.

It is an amenable number.

32123013 is a deficient number, since it is larger than the sum of its proper divisors (16997115).

32123013 is a wasteful number, since it uses less digits than its factorization.

32123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3760 counting only the distinct ones).

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

The square root of 32123013 is about 5667.7167360411. The cubic root of 32123013 is about 317.8865047296.

Adding to 32123013 its reverse (31032123), we get a palindrome (63155136).

The spelling of 32123013 in words is "thirty-two million, one hundred twenty-three thousand, thirteen".

Divisors: 1 3 13 17 39 51 169 221 507 663 2873 3727 8619 11181 48451 63359 145353 190077 629863 823667 1889589 2471001 10707671 32123013