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2002112000120 = 235364511373153
BaseRepresentation
bin11101001000100111001…
…011001011000001111000
321002101210121221120110202
4131020213023023001320
5230300311133000440
64131431344301332
7264435126131561
oct35104713130170
97071717846422
102002112000120
11702100035831
12284033311848
13116a4bc9429b
146cc8d181168
153712d615615
hex1d2272cb078

2002112000120 has 32 divisors (see below), whose sum is σ = 4504878864720. Its totient is φ = 800822246400.

The previous prime is 2002112000117. The next prime is 2002112000131. The reversal of 2002112000120 is 210002112002.

It is a happy number.

It is a super-2 number, since 2×20021120001202 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 771464 + ... + 2144616.

Almost surely, 22002112000120 is an apocalyptic number.

2002112000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112000120 is an abundant number, since it is smaller than the sum of its proper divisors (2502766864600).

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

2002112000120 is a wasteful number, since it uses less digits than its factorization.

2002112000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409615 (or 1409611 counting only the distinct ones).

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

Adding to 2002112000120 its reverse (210002112002), we get a palindrome (2212114112122).

The spelling of 2002112000120 in words is "two trillion, two billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 36451 72902 145804 182255 291608 364510 729020 1373153 1458040 2746306 5492612 6865765 10985224 13731530 27463060 54926120 50052800003 100105600006 200211200012 250264000015 400422400024 500528000030 1001056000060 2002112000120