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2002112200020 = 223537338938799
BaseRepresentation
bin11101001000100111001…
…011111011110101010100
321002101210122022201200110
4131020213023323311110
5230300311210400040
64131431352443020
7264435130623432
oct35104713736524
97071718281613
102002112200020
11702100161a39
122840333a9470
13116a4c03427a
146cc8d1d3d52
153712d654980
hex1d2272fbd54

2002112200020 has 48 divisors (see below), whose sum is σ = 5607416505600. Its totient is φ = 533753506176.

The previous prime is 2002112200013. The next prime is 2002112200043. The reversal of 2002112200020 is 200022112002.

It is a super-2 number, since 2×20021122000202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002112199969 and 2002112200005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245420 + ... + 4693379.

It is an arithmetic number, because the mean of its divisors is an integer number (116821177200).

Almost surely, 22002112200020 is an apocalyptic number.

2002112200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112200020 is an abundant number, since it is smaller than the sum of its proper divisors (3605304305580).

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

2002112200020 is a wasteful number, since it uses less digits than its factorization.

2002112200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942544 (or 8942542 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002112200020 its reverse (200022112002), we get a palindrome (2202134312022).

The spelling of 2002112200020 in words is "two trillion, two billion, one hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3733 7466 11199 14932 18665 22398 37330 44796 55995 74660 111990 223980 8938799 17877598 26816397 35755196 44693995 53632794 89387990 107265588 134081985 178775980 268163970 536327940 33368536667 66737073334 100105610001 133474146668 166842683335 200211220002 333685366670 400422440004 500528050005 667370733340 1001056100010 2002112200020