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213130131220000 = 255410656506561
BaseRepresentation
bin110000011101011100111001…
…110000110010011000100000
31000221122001010021222111110201
4300131130321300302120200
5210413411002043020000
62033142344113434544
762615100223235161
oct6035347160623040
91027561107874421
10213130131220000
1161a00a87867755
121baa206986ba54
1391c0115073997
143a8b7a6711768
15199900cd5996a
hexc1d739c32620

213130131220000 has 60 divisors (see below), whose sum is σ = 524332092370086. Its totient is φ = 85252052480000.

The previous prime is 213130131219989. The next prime is 213130131220007. The reversal of 213130131220000 is 22131031312.

It can be written as a sum of positive squares in 5 ways, for example, as 14918535452304 + 198211595767696 = 3862452^2 + 14078764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213130131220000.

It is not an unprimeable number, because it can be changed into a prime (213130131220007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5328233281 + ... + 5328273280.

Almost surely, 2213130131220000 is an apocalyptic number.

213130131220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213130131220000 is an abundant number, since it is smaller than the sum of its proper divisors (311201961150086).

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

213130131220000 is an equidigital number, since it uses as much as digits as its factorization.

213130131220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656506591 (or 10656506568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213130131220000 its reverse (22131031312), we get a palindrome (213152262251312).

The spelling of 213130131220000 in words is "two hundred thirteen trillion, one hundred thirty billion, one hundred thirty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 10656506561 21313013122 42626026244 53282532805 85252052488 106565065610 170504104976 213130131220 266412664025 341008209952 426260262440 532825328050 852520524880 1065650656100 1332063320125 1705041049760 2131301312200 2664126640250 4262602624400 5328253280500 6660316600625 8525205248800 10656506561000 13320633201250 21313013122000 26641266402500 42626026244000 53282532805000 106565065610000 213130131220000