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320213012 = 227293112721
BaseRepresentation
bin10011000101100…
…001000000010100
3211022112111200012
4103011201000110
51123433304022
651435135352
710635523430
oct2305410024
9738474605
10320213012
1115482a859
128b2a4558
1351457172
14307559c0
151d1a2de2
hex13161014

320213012 has 48 divisors (see below), whose sum is σ = 683934720. Its totient is φ = 128217600.

The previous prime is 320212987. The next prime is 320213017. The reversal of 320213012 is 210312023.

It is a happy number.

It is a super-2 number, since 2×3202130122 = 205072746108224288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320213017) 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, 18812 + ... + 31532.

It is an arithmetic number, because the mean of its divisors is an integer number (14248640).

Almost surely, 2320213012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341967360).

320213012 is an abundant number, since it is smaller than the sum of its proper divisors (363721708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320213012 is a wasteful number, since it uses less digits than its factorization.

320213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792 (or 12790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 320213012 is about 17894.4966959118. The cubic root of 320213012 is about 684.1421139226.

Adding to 320213012 its reverse (210312023), we get a palindrome (530525035).

The spelling of 320213012 in words is "three hundred twenty million, two hundred thirteen thousand, twelve".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 1798 3596 6293 12586 12721 25172 25442 50884 89047 178094 356188 368909 394351 737818 788702 1475636 1577404 2582363 2760457 5164726 5520914 10329452 11041828 11436179 22872358 45744716 80053253 160106506 320213012