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2022112002100 = 225220221120021
BaseRepresentation
bin11101011011001111010…
…001001000000000110100
321011022102110110221102211
4131123033101020000310
5231112241133031400
64144540113543204
7266043551264341
oct35331721100064
97138373427384
102022112002100
1170a633566293
12287a95274b04
131188b866ca98
146dc294677c8
15378ee381dba
hex1d6cf448034

2022112002100 has 18 divisors (see below), whose sum is σ = 4387983044774. Its totient is φ = 808844800800.

The previous prime is 2022112002091. The next prime is 2022112002107. The reversal of 2022112002100 is 12002112202.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 65174005264 + 1956937996836 = 255292^2 + 1398906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022112002107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10110559911 + ... + 10110560110.

Almost surely, 22022112002100 is an apocalyptic number.

2022112002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022112002100 is an abundant number, since it is smaller than the sum of its proper divisors (2365871042674).

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

2022112002100 is a wasteful number, since it uses less digits than its factorization.

2022112002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20221120035 (or 20221120028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2022112002100 its reverse (12002112202), we get a palindrome (2034114114302).

The spelling of 2022112002100 in words is "two trillion, twenty-two billion, one hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20221120021 40442240042 80884480084 101105600105 202211200210 404422400420 505528000525 1011056001050 2022112002100