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1012210000200 = 2332527193416239
BaseRepresentation
bin11101011101011000110…
…10101110000101001000
310120202200122200200221200
432232230122232011020
5113041001230001300
62053000341104200
7133062336020160
oct16565432560510
93522618620850
101012210000200
1136030417a853
1214420b0b8060
13745b2aa9329
1436dc3ccb5a0
151b4e3669200
hexebac6ae148

1012210000200 has 288 divisors, whose sum is σ = 3905097081600. Its totient is φ = 230162964480.

The previous prime is 1012210000163. The next prime is 1012210000213. The reversal of 1012210000200 is 20000122101.

1012210000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2223681 + ... + 2639919.

Almost surely, 21012210000200 is an apocalyptic number.

1012210000200 is a gapful number since it is divisible by the number (10) 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 1012210000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952548540800).

1012210000200 is an abundant number, since it is smaller than the sum of its proper divisors (2892887081400).

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

1012210000200 is a wasteful number, since it uses less digits than its factorization.

1012210000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416461 (or 416449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012210000200 its reverse (20000122101), we get a palindrome (1032210122301).

The spelling of 1012210000200 in words is "one trillion, twelve billion, two hundred ten million, two hundred", and thus it is an aban number.