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2022100000200 = 23335271941431597
BaseRepresentation
bin11101011011001110100…
…011010101110111001000
321011022101121220011221000
4131123032203111313020
5231112230100001300
64144535004415000
7266043344256360
oct35331643256710
97138347804830
102022100000200
1170a627809065
12287a91247460
131188b6029c77
146dc27a219a0
15378ed2b0c00
hex1d6ce8d5dc8

2022100000200 has 1536 divisors, whose sum is σ = 8788437504000. Its totient is φ = 416992665600.

The previous prime is 2022100000187. The next prime is 2022100000213. The reversal of 2022100000200 is 20000012202.

It is an interprime number because it is at equal distance from previous prime (2022100000187) and next prime (2022100000213).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1266185802 + ... + 1266187398.

It is an arithmetic number, because the mean of its divisors is an integer number (5721639000).

Almost surely, 22022100000200 is an apocalyptic number.

2022100000200 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 2022100000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394218752000).

2022100000200 is an abundant number, since it is smaller than the sum of its proper divisors (6766337503800).

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

2022100000200 is a wasteful number, since it uses less digits than its factorization.

2022100000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2022100000200 its reverse (20000012202), we get a palindrome (2042100012402).

The spelling of 2022100000200 in words is "two trillion, twenty-two billion, one hundred million, two hundred", and thus it is an aban number.