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213013131320 = 23511484120753
BaseRepresentation
bin1100011001100010010…
…0100111000000111000
3202100211020210020202002
43012120210213000320
511442222330200240
6241505030400132
721250443512243
oct3063044470070
9670736706662
10213013131320
118237a3a5390
1235349800048
131711933aa92
14a44a4a825a
15581ab1bd15
hex3198927038

213013131320 has 32 divisors (see below), whose sum is σ = 522850414320. Its totient is φ = 77459320320.

The previous prime is 213013131277. The next prime is 213013131343. The reversal of 213013131320 is 23131310312.

It is a super-2 number, since 2×2130131313202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213013131292 and 213013131301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242059937 + ... + 242060816.

Almost surely, 2213013131320 is an apocalyptic number.

213013131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013131320 is an abundant number, since it is smaller than the sum of its proper divisors (309837283000).

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

213013131320 is a wasteful number, since it uses less digits than its factorization.

213013131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484120775 (or 484120771 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213013131320 its reverse (23131310312), we get a palindrome (236144441632).

The spelling of 213013131320 in words is "two hundred thirteen billion, thirteen million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 484120753 968241506 1936483012 2420603765 3872966024 4841207530 5325328283 9682415060 10650656566 19364830120 21301313132 26626641415 42602626264 53253282830 106506565660 213013131320