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2002132112202 = 232193576318973
BaseRepresentation
bin11101001000101000010…
…111111001001101001010
321002101212000210101001200
4131020220113321031022
5230300331310042302
64131433343325030
7264435462105435
oct35105027711512
97071760711050
102002132112202
11702110422292
12284039bb0776
13116a531b6721
146cc91ad881c
153713028981c
hex1d2285f934a

2002132112202 has 24 divisors (see below), whose sum is σ = 4360429357284. Its totient is φ = 663919455744.

The previous prime is 2002132112191. The next prime is 2002132112231. The reversal of 2002132112202 is 2022112312002.

2002132112202 is a `hidden beast` number, since 20 + 0 + 213 + 211 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1788502347801 + 213629764401 = 1337349^2 + 462201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 288156013 + ... + 288162960.

Almost surely, 22002132112202 is an apocalyptic number.

2002132112202 is an abundant number, since it is smaller than the sum of its proper divisors (2358297245082).

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

2002132112202 is a wasteful number, since it uses less digits than its factorization.

2002132112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576319174 (or 576319171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2002132112202 its reverse (2022112312002), we get a palindrome (4024244424204).

The spelling of 2002132112202 in words is "two trillion, two billion, one hundred thirty-two million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 576318973 1152637946 1728956919 3457913838 5186870757 10373741514 111229561789 222459123578 333688685367 667377370734 1001066056101 2002132112202