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2201210000020 = 225157701022293
BaseRepresentation
bin100000000010000010010…
…101110001001010010100
321210102201002221220110001
4200002002111301022110
5242031034230000040
64403115533341044
7315014015166643
oct40020225611224
97712632856401
102201210000020
117795897289a9
122b6738937784
1312c75b469595
147877954535a
153c3d27b559a
hex20082571294

2201210000020 has 24 divisors (see below), whose sum is σ = 4651983942984. Its totient is φ = 874875820416.

The previous prime is 2201209999997. The next prime is 2201210000029. The reversal of 2201210000020 is 200000121022.

It can be written as a sum of positive squares in 4 ways, for example, as 588543671556 + 1612666328464 = 767166^2 + 1269908^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2201209999961 and 2201210000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201210000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350508007 + ... + 350514286.

It is an arithmetic number, because the mean of its divisors is an integer number (193832664291).

Almost surely, 22201210000020 is an apocalyptic number.

2201210000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201210000020 is an abundant number, since it is smaller than the sum of its proper divisors (2450773942964).

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

2201210000020 is a wasteful number, since it uses less digits than its factorization.

2201210000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701022459 (or 701022457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2201210000020 its reverse (200000121022), we get a palindrome (2401210121042).

The spelling of 2201210000020 in words is "two trillion, two hundred one billion, two hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 701022293 1402044586 2804089172 3505111465 7010222930 14020445860 110060500001 220121000002 440242000004 550302500005 1100605000010 2201210000020