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212323131220 = 225971011083613
BaseRepresentation
bin1100010110111101110…
…0011101111101010100
3202022001011102121112211
43011233130131331110
511434314210144340
6241312341323204
721224364560164
oct3055734357524
9668034377484
10212323131220
1182055966072
1235196706504
13170393c01b5
14a3c29b45a4
1557ca2725ea
hex316f71df54

212323131220 has 48 divisors (see below), whose sum is σ = 454935832848. Its totient is φ = 83221401600.

The previous prime is 212323131193. The next prime is 212323131239. The reversal of 212323131220 is 22131323212.

It can be written as a sum of positive squares in 8 ways, for example, as 4720789264 + 207602341956 = 68708^2 + 455634^2 .

It is a super-2 number, since 2×2123231312202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212323131191 and 212323131200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345867 + ... + 737746.

It is an arithmetic number, because the mean of its divisors is an integer number (9477829851).

Almost surely, 2212323131220 is an apocalyptic number.

212323131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212323131220 is an abundant number, since it is smaller than the sum of its proper divisors (242612701628).

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

212323131220 is a wasteful number, since it uses less digits than its factorization.

212323131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083820 (or 1083818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212323131220 its reverse (22131323212), we get a palindrome (234454454432).

The spelling of 212323131220 in words is "two hundred twelve billion, three hundred twenty-three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 101 194 202 388 404 485 505 970 1010 1940 2020 9797 19594 39188 48985 97970 195940 1083613 2167226 4334452 5418065 10836130 21672260 105110461 109444913 210220922 218889826 420441844 437779652 525552305 547224565 1051104610 1094449130 2102209220 2188898260 10616156561 21232313122 42464626244 53080782805 106161565610 212323131220