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213332532340 = 22529336404869
BaseRepresentation
bin1100011010101110011…
…1000001110001110100
3202101122111210111120111
43012223213001301310
511443401112013330
6242000440312404
721261402414454
oct3065347016164
9671574714514
10213332532340
1182523720074
1235418772704
131716a56c475
14a47aa8bd64
155838bae32a
hex31ab9c1c74

213332532340 has 24 divisors (see below), whose sum is σ = 449527334760. Its totient is φ = 85041771648.

The previous prime is 213332532337. The next prime is 213332532341. The reversal of 213332532340 is 43235233312.

213332532340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76305222756 + 137027309584 = 276234^2 + 370172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332532341) 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, 18196575 + ... + 18208294.

It is an arithmetic number, because the mean of its divisors is an integer number (18730305615).

Almost surely, 2213332532340 is an apocalyptic number.

213332532340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332532340 is an abundant number, since it is smaller than the sum of its proper divisors (236194802420).

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

213332532340 is a wasteful number, since it uses less digits than its factorization.

213332532340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36405171 (or 36405169 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

Adding to 213332532340 its reverse (43235233312), we get a palindrome (256567765652).

The spelling of 213332532340 in words is "two hundred thirteen billion, three hundred thirty-two million, five hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 36404869 72809738 145619476 182024345 364048690 728097380 10666626617 21333253234 42666506468 53333133085 106666266170 213332532340