Search a number
-
+
213112103320 = 23571619712109
BaseRepresentation
bin1100011001111001111…
…0001010000110011000
3202101002011000112210201
43012132132022012120
511442423144301240
6241522523551544
721253054663324
oct3063636120630
9671064015721
10213112103320
1182420254526
123537698b5b4
13171339b16ac
14a4596ac984
15582466bd9a
hex319e78a198

213112103320 has 64 divisors (see below), whose sum is σ = 486374414400. Its totient is φ = 84023708160.

The previous prime is 213112103297. The next prime is 213112103333. The reversal of 213112103320 is 23301211312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17593426 + ... + 17605534.

It is an arithmetic number, because the mean of its divisors is an integer number (7599600225).

Almost surely, 2213112103320 is an apocalyptic number.

213112103320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213112103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243187207200).

213112103320 is an abundant number, since it is smaller than the sum of its proper divisors (273262311080).

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

213112103320 is a wasteful number, since it uses less digits than its factorization.

213112103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18388 (or 18384 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213112103320 its reverse (23301211312), we get a palindrome (236413314632).

The spelling of 213112103320 in words is "two hundred thirteen billion, one hundred twelve million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 6197 12109 12394 24218 24788 30985 48436 49576 60545 61970 96872 121090 123940 242180 247880 439987 484360 859739 879974 1719478 1759948 2199935 3438956 3519896 4298695 4399870 6877912 8597390 8799740 17194780 17599480 34389560 75039473 150078946 300157892 375197365 600315784 750394730 1500789460 3001578920 5327802583 10655605166 21311210332 26639012915 42622420664 53278025830 106556051660 213112103320