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213331133020 = 225431759141023
BaseRepresentation
bin1100011010101110000…
…1101100001001011100
3202101122102011102001211
43012223201230021130
511443400232224040
6242000350314204
721261354466015
oct3065341541134
9671572142054
10213331133020
1182522954805
12354181b8964
131716a19c575
14a47a80600c
1558389d48ea
hex31ab86c25c

213331133020 has 48 divisors (see below), whose sum is σ = 458677739520. Its totient is φ = 83300003136.

The previous prime is 213331132999. The next prime is 213331133023. The reversal of 213331133020 is 20331133312.

It is a junction number, because it is equal to n+sod(n) for n = 213331132982 and 213331133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213331133023) 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, 1442229 + ... + 1583251.

It is an arithmetic number, because the mean of its divisors is an integer number (9555786240).

Almost surely, 2213331133020 is an apocalyptic number.

213331133020 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 213331133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229338869760).

213331133020 is an abundant number, since it is smaller than the sum of its proper divisors (245346606500).

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

213331133020 is a wasteful number, since it uses less digits than its factorization.

213331133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142834 (or 142832 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213331133020 its reverse (20331133312), we get a palindrome (233662266332).

The spelling of 213331133020 in words is "two hundred thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1759 3518 7036 8795 17590 35180 75637 141023 151274 282046 302548 378185 564092 705115 756370 1410230 1512740 2820460 6063989 12127978 24255956 30319945 60639890 121279780 248059457 496118914 992237828 1240297285 2480594570 4961189140 10666556651 21333113302 42666226604 53332783255 106665566510 213331133020