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210010012002200 = 2352293114976110301
BaseRepresentation
bin101111110000000011000100…
…001010100010011110011000
31000112120202112211012201110002
4233300003010022202132120
5210011301001033032300
62022353133450312132
762143502605412654
oct5760030412423630
91015522484181402
10210010012002200
1160a08822909853
121b679420128648
139024b22747857
1439c077871ba64
151942c97e615d5
hexbf00c42a2798

210010012002200 has 384 divisors, whose sum is σ = 525644303040000. Its totient is φ = 77854156800000.

The previous prime is 210010012002187. The next prime is 210010012002239. The reversal of 210010012002200 is 2200210010012.

It is a happy number.

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, 20387337050 + ... + 20387347350.

It is an arithmetic number, because the mean of its divisors is an integer number (1368865372500).

Almost surely, 2210010012002200 is an apocalyptic number.

210010012002200 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 210010012002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262822151520000).

210010012002200 is an abundant number, since it is smaller than the sum of its proper divisors (315634291037800).

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

210010012002200 is a wasteful number, since it uses less digits than its factorization.

210010012002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11287 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210010012002200 its reverse (2200210010012), we get a palindrome (212210222012212).

The spelling of 210010012002200 in words is "two hundred ten trillion, ten billion, twelve million, two thousand, two hundred".