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210010012322112 = 26323740924093089
BaseRepresentation
bin101111110000000011000100…
…001011110000100101000000
31000112120202112211210222021200
4233300003010023300211000
5210011301001123301422
62022353133501221200
762143502611214442
oct5760030413604500
91015522484728250
10210010012322112
1160a08823008142
121b679420261800
139024b2282a352
1439c07787a2492
151942c97ec62ac
hexbf00c42f0940

210010012322112 has 168 divisors, whose sum is σ = 619736434972200. Its totient is φ = 67944821096448.

The previous prime is 210010012322039. The next prime is 210010012322137. The reversal of 210010012322112 is 211223210010012.

210010012322112 is a `hidden beast` number, since 210 + 0 + 10 + 0 + 1 + 232 + 211 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165009850419456 + 45000161902656 = 12845616^2 + 6708216^2 .

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 23 ways as a sum of consecutive naturals, for example, 3329937 + ... + 20763152.

It is an arithmetic number, because the mean of its divisors is an integer number (3688907351025).

Almost surely, 2210010012322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210010012322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309868217486100).

210010012322112 is an abundant number, since it is smaller than the sum of its proper divisors (409726422650088).

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

210010012322112 is a wasteful number, since it uses less digits than its factorization.

210010012322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24093553 (or 24093540 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 210010012322112 its reverse (211223210010012), we get a palindrome (421233222332124).

The spelling of 210010012322112 in words is "two hundred ten trillion, ten billion, twelve million, three hundred twenty-two thousand, one hundred twelve".