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212323131000 = 23325337637607
BaseRepresentation
bin1100010110111101110…
…0011101111001111000
3202022001011102121020200
43011233130131321320
511434314210143000
6241312341322200
721224364556431
oct3055734357170
9668034377220
10212323131000
1182055965992
1235196706360
13170393c0076
14a3c29b4488
1557ca272500
hex316f71de78

212323131000 has 192 divisors, whose sum is σ = 737049343680. Its totient is φ = 55089158400.

The previous prime is 212323130977. The next prime is 212323131121. The reversal of 212323131000 is 131323212.

212323131000 is a `hidden beast` number, since 2 + 123 + 231 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×2123231310002 (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 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 47 ways as a sum of consecutive naturals, for example, 14197 + ... + 651803.

It is an arithmetic number, because the mean of its divisors is an integer number (3838798665).

Almost surely, 2212323131000 is an apocalyptic number.

212323131000 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 212323131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368524671840).

212323131000 is an abundant number, since it is smaller than the sum of its proper divisors (524726212680).

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

212323131000 is a wasteful number, since it uses less digits than its factorization.

212323131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637671 (or 637654 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212323131000 its reverse (131323212), we get a palindrome (212454454212).

The spelling of 212323131000 in words is "two hundred twelve billion, three hundred twenty-three million, one hundred thirty-one thousand".