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1022221000200 = 2335237437314669
BaseRepresentation
bin11101110000000010001…
…11101001111000001000
310121201112100011012020110
432320001013221320020
5113222002034001300
62101333555354320
7133565406065121
oct16700107517010
93551470135213
101022221000200
11364581118274
121461438b29a0
1375519b4857a
14376936b5048
151b8cc49b550
hexee011e9e08

1022221000200 has 384 divisors, whose sum is σ = 3376066953600. Its totient is φ = 255490744320.

The previous prime is 1022221000159. The next prime is 1022221000231. The reversal of 1022221000200 is 20001222201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69678466 + ... + 69693134.

It is an arithmetic number, because the mean of its divisors is an integer number (8791841025).

Almost surely, 21022221000200 is an apocalyptic number.

1022221000200 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 1022221000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688033476800).

1022221000200 is an abundant number, since it is smaller than the sum of its proper divisors (2353845953400).

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

1022221000200 is a wasteful number, since it uses less digits than its factorization.

1022221000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14841 (or 14832 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022221000200 its reverse (20001222201), we get a palindrome (1042222222401).

The spelling of 1022221000200 in words is "one trillion, twenty-two billion, two hundred twenty-one million, two hundred", and thus it is an aban number.