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212313121020 = 22325711133731847
BaseRepresentation
bin1100010110111011011…
…0010010000011111100
3202022000110121001010200
43011232312102003330
511434304124333040
6241311343003500
721224213516010
oct3055666220374
9668013531120
10212313121020
1182050249280
1235193299590
13170372c6ac0
14a3c152a540
1557c9446630
hex316ed920fc

212313121020 has 576 divisors, whose sum is σ = 888091416576. Its totient is φ = 39621519360.

The previous prime is 212313120977. The next prime is 212313121037. The reversal of 212313121020 is 20121313212.

212313121020 is a `hidden beast` number, since 21 + 231 + 312 + 102 + 0 = 666.

It is a super-2 number, since 2×2123131210202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212313120984 and 212313121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6650737 + ... + 6682583.

It is an arithmetic number, because the mean of its divisors is an integer number (1541825376).

Almost surely, 2212313121020 is an apocalyptic number.

212313121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212313121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444045708288).

212313121020 is an abundant number, since it is smaller than the sum of its proper divisors (675778295556).

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

212313121020 is a wasteful number, since it uses less digits than its factorization.

212313121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31930 (or 31925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212313121020 its reverse (20121313212), we get a palindrome (232434434232).

It can be divided in two parts, 212313 and 121020, that added together give a palindrome (333333).

The spelling of 212313121020 in words is "two hundred twelve billion, three hundred thirteen million, one hundred twenty-one thousand, twenty".