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2002201102100 = 225237599171787
BaseRepresentation
bin11101001000101100011…
…111000100011100010100
321002102000211121102102002
4131020230133010130110
5230301001440231400
64131444250134432
7264440260364243
oct35105437043424
97072024542362
102002201102100
11702146363431
12284059121418
13116a64590554
146cc9ad3695a
1537136365ed5
hex1d22c7c4714

2002201102100 has 72 divisors (see below), whose sum is σ = 4537833830880. Its totient is φ = 766027566720.

The previous prime is 2002201102081. The next prime is 2002201102117. The reversal of 2002201102100 is 12011022002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4367594 + ... + 4804193.

Almost surely, 22002201102100 is an apocalyptic number.

2002201102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002201102100 is an abundant number, since it is smaller than the sum of its proper divisors (2535632728780).

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

2002201102100 is a wasteful number, since it uses less digits than its factorization.

2002201102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171897 (or 9171890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002201102100 its reverse (12011022002), we get a palindrome (2014212124102).

The spelling of 2002201102100 in words is "two trillion, two billion, two hundred one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 59 74 100 118 148 185 236 295 370 590 740 925 1180 1475 1850 2183 2950 3700 4366 5900 8732 10915 21830 43660 54575 109150 218300 9171787 18343574 36687148 45858935 91717870 183435740 229294675 339356119 458589350 541135433 678712238 917178700 1082270866 1357424476 1696780595 2164541732 2705677165 3393561190 5411354330 6787122380 8483902975 10822708660 13528385825 16967805950 20022011021 27056771650 33935611900 40044022042 54113543300 80088044084 100110055105 200220110210 400440220420 500550275525 1001100551050 2002201102100