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1022200100 = 225210222001
BaseRepresentation
bin111100111011011…
…000100100100100
32122020110010220222
4330323120210210
54043140400400
6245233143512
734221362135
oct7473304444
92566403828
101022200100
11485007079
122463bab98
13133a10b3c
1499a89c8c
155eb19185
hex3ced8924

1022200100 has 18 divisors (see below), whose sum is σ = 2218174434. Its totient is φ = 408880000.

The previous prime is 1022200079. The next prime is 1022200117. The reversal of 1022200100 is 10022201.

1022200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 257345764 + 764854336 = 16042^2 + 27656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5110901 + ... + 5111100.

It is an arithmetic number, because the mean of its divisors is an integer number (123231913).

Almost surely, 21022200100 is an apocalyptic number.

1022200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022200100 is an abundant number, since it is smaller than the sum of its proper divisors (1195974334).

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

1022200100 is a wasteful number, since it uses less digits than its factorization.

1022200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222015 (or 10222008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1022200100 is about 31971.8641933810. The cubic root of 1022200100 is about 1007.3459383867.

Adding to 1022200100 its reverse (10022201), we get a palindrome (1032222301).

The spelling of 1022200100 in words is "one billion, twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10222001 20444002 40888004 51110005 102220010 204440020 255550025 511100050 1022200100