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213130322120 = 2355328258053
BaseRepresentation
bin1100011001111110001…
…1101010000011001000
3202101010102022011022002
43012133203222003020
511442442330301440
6241524414250132
721253365563342
oct3063743520310
9671112264262
10213130322120
118242a568591
1235380ab6948
13171376c0151
14a45bc92292
15582606a115
hex319f8ea0c8

213130322120 has 16 divisors (see below), whose sum is σ = 479543224860. Its totient is φ = 85252128832.

The previous prime is 213130322101. The next prime is 213130322123. The reversal of 213130322120 is 21223031312.

It can be written as a sum of positive squares in 2 ways, for example, as 208679030596 + 4451291524 = 456814^2 + 66718^2 .

It is a super-2 number, since 2×2131303221202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213130322092 and 213130322101.

It is not an unprimeable number, because it can be changed into a prime (213130322123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2664128987 + ... + 2664129066.

Almost surely, 2213130322120 is an apocalyptic number.

213130322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213130322120 is an abundant number, since it is smaller than the sum of its proper divisors (266412902740).

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

213130322120 is a wasteful number, since it uses less digits than its factorization.

213130322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328258064 (or 5328258060 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213130322120 its reverse (21223031312), we get a palindrome (234353353432).

The spelling of 213130322120 in words is "two hundred thirteen billion, one hundred thirty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5328258053 10656516106 21313032212 26641290265 42626064424 53282580530 106565161060 213130322120