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2002112012200 = 235242061238001
BaseRepresentation
bin11101001000100111001…
…011001101111110101000
321002101210121222012001011
4131020213023031332220
5230300311133342300
64131431344433304
7264435126212026
oct35104713157650
97071717865034
102002112012200
11702100043913
12284033318834
13116a4bc99931
146cc8d185716
153712d618eba
hex1d2272cdfa8

2002112012200 has 48 divisors (see below), whose sum is σ = 4655040657660. Its totient is φ = 800822400000.

The previous prime is 2002112012183. The next prime is 2002112012237. The reversal of 2002112012200 is 22102112002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1472451194916 + 529660817284 = 1213446^2 + 727778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8293200 + ... + 8531200.

Almost surely, 22002112012200 is an apocalyptic number.

2002112012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112012200 is an abundant number, since it is smaller than the sum of its proper divisors (2652928645460).

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

2002112012200 is a wasteful number, since it uses less digits than its factorization.

2002112012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280078 (or 280069 counting only the distinct ones).

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

Adding to 2002112012200 its reverse (22102112002), we get a palindrome (2024214124202).

The spelling of 2002112012200 in words is "two trillion, two billion, one hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 42061 84122 168244 210305 238001 336488 420610 476002 841220 952004 1051525 1190005 1682440 1904008 2103050 2380010 4206100 4760020 5950025 8412200 9520040 11900050 23800100 47600200 10010560061 20021120122 40042240244 50052800305 80084480488 100105600610 200211201220 250264001525 400422402440 500528003050 1001056006100 2002112012200