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212031022320 = 243251386326249
BaseRepresentation
bin1100010101111000001…
…0001010010011110000
3202021021210202221110200
43011132002022103300
511433214420203240
6241223344355200
721214216644555
oct3053602122360
9667253687420
10212031022320
1181a15a91357
1235114915b00
1316cc0a260b0
14a395c96a2c
1557ae7c1930
hex315e08a4f0

212031022320 has 240 divisors, whose sum is σ = 767763360000. Its totient is φ = 52129787904.

The previous prime is 212031022303. The next prime is 212031022321. The reversal of 212031022320 is 23220130212.

212031022320 is a `hidden beast` number, since 2 + 12 + 0 + 310 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 212031022293 and 212031022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212031022321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8064556 + ... + 8090804.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014000).

Almost surely, 2212031022320 is an apocalyptic number.

212031022320 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 212031022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680000).

212031022320 is an abundant number, since it is smaller than the sum of its proper divisors (555732337680).

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

212031022320 is a wasteful number, since it uses less digits than its factorization.

212031022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27144 (or 27135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212031022320 its reverse (23220130212), we get a palindrome (235251152532).

The spelling of 212031022320 in words is "two hundred twelve billion, thirty-one million, twenty-two thousand, three hundred twenty".