Search a number
-
+
213331133022 = 23710946599199
BaseRepresentation
bin1100011010101110000…
…1101100001001011110
3202101122102011102001220
43012223201230021132
511443400232224042
6242000350314210
721261354466020
oct3065341541136
9671572142056
10213331133022
1182522954807
12354181b8966
131716a19c577
14a47a806010
1558389d48ec
hex31ab86c25e

213331133022 has 32 divisors (see below), whose sum is σ = 492087552000. Its totient is φ = 60392560608.

The previous prime is 213331132999. The next prime is 213331133023. The reversal of 213331133022 is 220331133312.

213331133022 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213331132983 and 213331133001.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23295022 + ... + 23304177.

It is an arithmetic number, because the mean of its divisors is an integer number (15377736000).

Almost surely, 2213331133022 is an apocalyptic number.

213331133022 is an abundant number, since it is smaller than the sum of its proper divisors (278756418978).

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

213331133022 is a wasteful number, since it uses less digits than its factorization.

213331133022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46599320.

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

Adding to 213331133022 its reverse (220331133312), we get a palindrome (433662266334).

The spelling of 213331133022 in words is "two hundred thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 654 763 1526 2289 4578 46599199 93198398 139797597 279595194 326194393 652388786 978583179 1957166358 5079312691 10158625382 15237938073 30475876146 35555188837 71110377674 106665566511 213331133022