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22002010222100 = 2252220020102221
BaseRepresentation
bin1010000000010101111100…
…00000001110111000010100
32212220101000220220012221012
411000022332000032320110
510340440104104101400
6114443330045111352
74430410216104536
oct500127600167024
985811026805835
1022002010222100
1170130001a74a7
122574178858558
13c37a1c16112c
14560c8daa7856
152824c9594d35
hex1402be00ee14

22002010222100 has 18 divisors (see below), whose sum is σ = 47744362182174. Its totient is φ = 8800804088800.

The previous prime is 22002010222097. The next prime is 22002010222103. The reversal of 22002010222100 is 122201020022.

It is an interprime number because it is at equal distance from previous prime (22002010222097) and next prime (22002010222103).

It can be written as a sum of positive squares in 3 ways, for example, as 3760876732804 + 18241133489296 = 1939298^2 + 4270964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002010222103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 110010051011 + ... + 110010051210.

Almost surely, 222002010222100 is an apocalyptic number.

22002010222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002010222100 is an abundant number, since it is smaller than the sum of its proper divisors (25742351960074).

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

22002010222100 is a wasteful number, since it uses less digits than its factorization.

22002010222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220020102235 (or 220020102228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22002010222100 its reverse (122201020022), we get a palindrome (22124211242122).

The spelling of 22002010222100 in words is "twenty-two trillion, two billion, ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 220020102221 440040204442 880080408884 1100100511105 2200201022210 4400402044420 5500502555525 11001005111050 22002010222100