Search a number
-
+
213131304031020 = 223523711498181527
BaseRepresentation
bin110000011101011101111111…
…101010101101001100101100
31000221122011011000211110201220
4300131131333222231030230
5210413420402312443040
62033143100331103340
762615141254043244
oct6035357752551454
91027564130743656
10213131304031020
1161a01529892a61
121baa23365a1b50
1391c02710387bb
143a8b8783a4b24
15199907acc42d0
hexc1d77faad32c

213131304031020 has 48 divisors (see below), whose sum is σ = 597019346181888. Its totient is φ = 56811043465920.

The previous prime is 213131304030991. The next prime is 213131304031027. The reversal of 213131304031020 is 20130403131312.

It is a super-2 number, since 2×2131313040310202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213131304031027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748948504 + ... + 749233023.

It is an arithmetic number, because the mean of its divisors is an integer number (12437903045456).

Almost surely, 2213131304031020 is an apocalyptic number.

213131304031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131304031020 is an abundant number, since it is smaller than the sum of its proper divisors (383888042150868).

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

213131304031020 is a wasteful number, since it uses less digits than its factorization.

213131304031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498183910 (or 1498183908 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213131304031020 its reverse (20130403131312), we get a palindrome (233261707162332).

The spelling of 213131304031020 in words is "two hundred thirteen trillion, one hundred thirty-one billion, three hundred four million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2371 4742 7113 9484 11855 14226 23710 28452 35565 47420 71130 142260 1498181527 2996363054 4494544581 5992726108 7490907635 8989089162 14981815270 17978178324 22472722905 29963630540 44945445810 89890891620 3552188400517 7104376801034 10656565201551 14208753602068 17760942002585 21313130403102 35521884005170 42626260806204 53282826007755 71043768010340 106565652015510 213131304031020