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213324040120 = 2355333101003
BaseRepresentation
bin1100011010101100011…
…0101000011110111000
3202101121220211001102211
43012223012220132320
511443341423240440
6241555534304504
721261240265012
oct3065306503670
9671556731384
10213324040120
118251994a804
1235415958134
1317168887c99
14a4798bb1b2
155838082eea
hex31ab1a87b8

213324040120 has 16 divisors (see below), whose sum is σ = 479979090360. Its totient is φ = 85329616032.

The previous prime is 213324040093. The next prime is 213324040151. The reversal of 213324040120 is 21040423312.

213324040120 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-2 number, since 2×2133240401202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213324040091 and 213324040100.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2666550462 + ... + 2666550541.

Almost surely, 2213324040120 is an apocalyptic number.

213324040120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213324040120 is an abundant number, since it is smaller than the sum of its proper divisors (266655050240).

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

213324040120 is a wasteful number, since it uses less digits than its factorization.

213324040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333101014 (or 5333101010 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 213324040120 its reverse (21040423312), we get a palindrome (234364463432).

The spelling of 213324040120 in words is "two hundred thirteen billion, three hundred twenty-four million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5333101003 10666202006 21332404012 26665505015 42664808024 53331010030 106662020060 213324040120