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20022210100 = 22521131771877
BaseRepresentation
bin10010101001011010…
…101010111000110100
31220200101022122210001
4102221122222320310
5312001141210400
613110441241044
71306111656244
oct225132527064
956611278701
1020022210100
118545019882
123a69493184
131b71182cc9
14d7d227b24
157c2ba6a6a
hex4a96aae34

20022210100 has 36 divisors (see below), whose sum is σ = 43832717964. Its totient is φ = 7938004480.

The previous prime is 20022210083. The next prime is 20022210121. The reversal of 20022210100 is 101222002.

It can be written as a sum of positive squares in 6 ways, for example, as 4963484304 + 15058725796 = 70452^2 + 122714^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 874639 + ... + 897238.

It is an arithmetic number, because the mean of its divisors is an integer number (1217575499).

Almost surely, 220022210100 is an apocalyptic number.

20022210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022210100 is an abundant number, since it is smaller than the sum of its proper divisors (23810507864).

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

20022210100 is a wasteful number, since it uses less digits than its factorization.

20022210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772004 (or 1771997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20022210100 its reverse (101222002), we get a palindrome (20123432102).

The spelling of 20022210100 in words is "twenty billion, twenty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 1771877 3543754 7087508 8859385 17718770 35437540 44296925 88593850 177187700 200222101 400444202 800888404 1001110505 2002221010 4004442020 5005552525 10011105050 20022210100