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2022002100000 = 25325517132157
BaseRepresentation
bin11101011011001000101…
…101111000011100100000
321011022010210200100002200
4131123020231320130200
5231112030014200000
64144521150213200
7266041045161141
oct35331055703440
97138123610080
102022002100000
1170a587521203
12287a644b4200
1311889b97015c
146dc18a19ac8
15378e48c3500
hex1d6c8b78720

2022002100000 has 432 divisors, whose sum is σ = 7609955259816. Its totient is φ = 507479040000.

The previous prime is 2022002099987. The next prime is 2022002100023. The reversal of 2022002100000 is 12002202.

It can be written as a sum of positive squares in 12 ways, for example, as 572280146064 + 1449721953936 = 756492^2 + 1204044^2 .

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

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, 15233922 + ... + 15366078.

Almost surely, 22022002100000 is an apocalyptic number.

2022002100000 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 2022002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804977629908).

2022002100000 is an abundant number, since it is smaller than the sum of its proper divisors (5587953159816).

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

2022002100000 is a wasteful number, since it uses less digits than its factorization.

2022002100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132215 (or 132184 counting only the distinct ones).

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

Adding to 2022002100000 its reverse (12002202), we get a palindrome (2022014102202).

The spelling of 2022002100000 in words is "two trillion, twenty-two billion, two million, one hundred thousand".