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213331133220 = 223519811230743
BaseRepresentation
bin1100011010101110000…
…1101100001100100100
3202101122102011102100020
43012223201230030210
511443400232230340
6242000350315140
721261354466422
oct3065341541444
9671572142306
10213331133220
1182522954977
12354181b8ab0
131716a19c69a
14a47a806112
1558389d49d0
hex31ab86c324

213331133220 has 96 divisors (see below), whose sum is σ = 629543470080. Its totient is φ = 53827493760.

The previous prime is 213331133177. The next prime is 213331133261. The reversal of 213331133220 is 22331133312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809169 + ... + 1039911.

It is an arithmetic number, because the mean of its divisors is an integer number (6557744480).

Almost surely, 2213331133220 is an apocalyptic number.

213331133220 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 213331133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314771735040).

213331133220 is an abundant number, since it is smaller than the sum of its proper divisors (416212336860).

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

213331133220 is a wasteful number, since it uses less digits than its factorization.

213331133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231585 (or 231583 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 213331133220 its reverse (22331133312), we get a palindrome (235662266532).

The spelling of 213331133220 in words is "two hundred thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 811 1140 1622 2433 3244 4055 4866 8110 9732 12165 15409 16220 24330 30818 46227 48660 61636 77045 92454 154090 184908 230743 231135 308180 461486 462270 692229 922972 924540 1153715 1384458 2307430 2768916 3461145 4384117 4614860 6922290 8768234 13152351 13844580 17536468 21920585 26304702 43841170 52609404 65761755 87682340 131523510 187132573 263047020 374265146 561397719 748530292 935662865 1122795438 1871325730 2245590876 2806988595 3555518887 3742651460 5613977190 7111037774 10666556661 11227954380 14222075548 17777594435 21333113322 35555188870 42666226644 53332783305 71110377740 106665566610 213331133220