Search a number
-
+
2022021012100 = 2252199710125293
BaseRepresentation
bin11101011011001001110…
…110000001101010000100
321011022012010021011121211
4131123021312001222010
5231112044334341400
64144523103421204
7266041365006355
oct35331166015204
97138163234554
102022021012100
1170a597169141
12287a6a8b4804
131188a286234b
146dc1b33dd2c
15378e63abdba
hex1d6c9d81a84

2022021012100 has 36 divisors (see below), whose sum is σ = 4389983218404. Its totient is φ = 808403313280.

The previous prime is 2022021012061. The next prime is 2022021012133. The reversal of 2022021012100 is 12101202202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9004871236 + 2013016140864 = 94894^2 + 1418808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4862947 + ... + 5262346.

It is an arithmetic number, because the mean of its divisors is an integer number (121943978289).

Almost surely, 22022021012100 is an apocalyptic number.

2022021012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022021012100 is an abundant number, since it is smaller than the sum of its proper divisors (2367962206304).

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

2022021012100 is a wasteful number, since it uses less digits than its factorization.

2022021012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127304 (or 10127297 counting only the distinct ones).

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

Adding to 2022021012100 its reverse (12101202202), we get a palindrome (2034122214302).

The spelling of 2022021012100 in words is "two trillion, twenty-two billion, twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1997 3994 7988 9985 19970 39940 49925 99850 199700 10125293 20250586 40501172 50626465 101252930 202505860 253132325 506264650 1012529300 20220210121 40440420242 80880840484 101101050605 202202101210 404404202420 505505253025 1011010506050 2022021012100