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112022202002000 = 2453109751058433
BaseRepresentation
bin11001011110001000110011…
…100011101010101001010000
3112200122012212212101012012112
4121132020303203222221100
5104140332432203031000
61034130142242444452
732411223411106463
oct3136106343525120
9480565785335175
10112022202002000
113276a392687764
12106927a0963728
134a67857493104
141d93c913152da
15ce3e4b921235
hex65e2338eaa50

112022202002000 has 80 divisors (see below), whose sum is σ = 271116608332752. Its totient is φ = 44768033177600.

The previous prime is 112022202001901. The next prime is 112022202002027. The reversal of 112022202002000 is 200202220211.

It can be written as a sum of positive squares in 8 ways, for example, as 33655870671424 + 78366331330576 = 5801368^2 + 8852476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23335217 + ... + 27723216.

Almost surely, 2112022202002000 is an apocalyptic number.

112022202002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112022202002000 is an abundant number, since it is smaller than the sum of its proper divisors (159094406330752).

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

112022202002000 is a wasteful number, since it uses less digits than its factorization.

112022202002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51059553 (or 51059537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 112022202002000 its reverse (200202220211), we get a palindrome (112222404222211).

The spelling of 112022202002000 in words is "one hundred twelve trillion, twenty-two billion, two hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1097 2000 2194 4388 5485 8776 10970 17552 21940 27425 43880 54850 87760 109700 137125 219400 274250 438800 548500 1097000 2194000 51058433 102116866 204233732 255292165 408467464 510584330 816934928 1021168660 1276460825 2042337320 2552921650 4084674640 5105843300 6382304125 10211686600 12764608250 20423373200 25529216500 51058433000 56011101001 102116866000 112022202002 224044404004 280055505005 448088808008 560111010010 896177616016 1120222020020 1400277525025 2240444040040 2800555050050 4480888080080 5601110100100 7001387625125 11202220200200 14002775250250 22404440400400 28005550500500 56011101001000 112022202002000