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210010112220020 = 225743523413316139
BaseRepresentation
bin101111110000000011001010…
…001000110101101101110100
31000112120202210210210022110012
4233300003022020311231310
5210011301202212020040
62022353151430315352
762143505233303130
oct5760031210655564
91015522723708405
10210010112220020
1160a088744399a2
121b6794497b8b58
139024b3a436538
1439c0787b683c0
151942ca1b5a865
hexbf00ca235b74

210010112220020 has 192 divisors, whose sum is σ = 516888944732160. Its totient is φ = 70173163372032.

The previous prime is 210010112220019. The next prime is 210010112220079. The reversal of 210010112220020 is 20022211010012.

It is a super-3 number, since 3×2100101122200203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 210010112219977 and 210010112220004.

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 63 ways as a sum of consecutive naturals, for example, 13012577111 + ... + 13012593249.

It is an arithmetic number, because the mean of its divisors is an integer number (2692129920480).

Almost surely, 2210010112220020 is an apocalyptic number.

210010112220020 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 210010112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258444472366080).

210010112220020 is an abundant number, since it is smaller than the sum of its proper divisors (306878832512140).

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

210010112220020 is a wasteful number, since it uses less digits than its factorization.

210010112220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20854 (or 20852 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210010112220020 its reverse (20022211010012), we get a palindrome (230032323230032).

The spelling of 210010112220020 in words is "two hundred ten trillion, ten billion, one hundred twelve million, two hundred twenty thousand, twenty".