Search a number
-
+
213121303806 = 2337960005873
BaseRepresentation
bin1100011001111100000…
…1010000010011111110
3202101002210022222111110
43012133001100103332
511442433023210211
6241523453102450
721253226123025
oct3063701202376
9671083288443
10213121303806
1182425468a34
1235379a87a26
1317135883378
14a45a9c58bc
155825387ea6
hex319f0504fe

213121303806 has 16 divisors (see below), whose sum is σ = 437762678544. Its totient is φ = 69120422784.

The previous prime is 213121303783. The next prime is 213121303807. The reversal of 213121303806 is 608303121312.

213121303806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2131213038063 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121303807) 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 7 ways as a sum of consecutive naturals, for example, 480002715 + ... + 480003158.

It is an arithmetic number, because the mean of its divisors is an integer number (27360167409).

Almost surely, 2213121303806 is an apocalyptic number.

213121303806 is an abundant number, since it is smaller than the sum of its proper divisors (224641374738).

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

213121303806 is a wasteful number, since it uses less digits than its factorization.

213121303806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960005915.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 213121303806 in words is "two hundred thirteen billion, one hundred twenty-one million, three hundred three thousand, eight hundred six".

Divisors: 1 2 3 6 37 74 111 222 960005873 1920011746 2880017619 5760035238 35520217301 71040434602 106560651903 213121303806