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212311323000 = 23325375957119
BaseRepresentation
bin1100010110111010111…
…1011011000101111000
3202022000100012200201100
43011232233123011320
511434303144314000
6241311240251400
721224162316660
oct3055657330570
9668010180640
10212311323000
118204a230407
1235192770b60
1317036b1759a
14a3c11bd1a0
1557c91dda00
hex316ebdb178

212311323000 has 384 divisors, whose sum is σ = 834043392000. Its totient is φ = 47704953600.

The previous prime is 212311322981. The next prime is 212311323019. The reversal of 212311323000 is 323113212.

212311323000 is a `hidden beast` number, since 2 + 1 + 231 + 132 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212311322981) and next prime (212311323019).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3688441 + ... + 3745559.

It is an arithmetic number, because the mean of its divisors is an integer number (2171988000).

Almost surely, 2212311323000 is an apocalyptic number.

212311323000 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 212311323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417021696000).

212311323000 is an abundant number, since it is smaller than the sum of its proper divisors (621732069000).

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

212311323000 is a wasteful number, since it uses less digits than its factorization.

212311323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57212 (or 57195 counting only the distinct ones).

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

Adding to 212311323000 its reverse (323113212), we get a palindrome (212634436212).

The spelling of 212311323000 in words is "two hundred twelve billion, three hundred eleven million, three hundred twenty-three thousand".