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2002102022200 = 235273146131383
BaseRepresentation
bin11101001000100110100…
…101000111000000111000
321002101202221011122100011
4131020212211013000320
5230300301104202300
64131430350351304
7264434645253460
oct35104645070070
97071687148304
102002102022200
117020a5440215
1228402babb534
13116a49bac7a7
146cc8bb04ba0
153712c7e3eba
hex1d226947038

2002102022200 has 96 divisors (see below), whose sum is σ = 5491479951360. Its totient is φ = 664291900800.

The previous prime is 2002102022189. The next prime is 2002102022203. The reversal of 2002102022200 is 22202012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002102022203) 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 23 ways as a sum of consecutive naturals, for example, 23022292 + ... + 23109091.

It is an arithmetic number, because the mean of its divisors is an integer number (57202916160).

Almost surely, 22002102022200 is an apocalyptic number.

2002102022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002102022200 is an abundant number, since it is smaller than the sum of its proper divisors (3489377929160).

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

2002102022200 is a wasteful number, since it uses less digits than its factorization.

2002102022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46131437 (or 46131428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002102022200 its reverse (22202012002), we get a palindrome (2024304034202).

The spelling of 2002102022200 in words is "two trillion, two billion, one hundred two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 6200 8680 10850 21700 43400 46131383 92262766 184525532 230656915 322919681 369051064 461313830 645839362 922627660 1153284575 1291678724 1430072873 1614598405 1845255320 2306569150 2583357448 2860145746 3229196810 4613138300 5720291492 6458393620 7150364365 8072992025 9226276600 10010510111 11440582984 12916787240 14300728730 16145984050 20021020222 28601457460 32291968100 35751821825 40042040444 50052550555 57202914920 64583936200 71503643650 80084080888 100105101110 143007287300 200210202220 250262752775 286014574600 400420404440 500525505550 1001051011100 2002102022200