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200122000020 = 223251111788889
BaseRepresentation
bin1011101001100000110…
…0110110001010010100
3201010112211211221001200
42322120030312022110
511234322213000040
6231533524552500
720313131635125
oct2723014661224
9633484757050
10200122000020
1177964719668
1232950552730
1315b43696537
14998639c04c
155314022630
hex2e98336294

200122000020 has 36 divisors (see below), whose sum is σ = 607036733940. Its totient is φ = 53365866624.

The previous prime is 200121999989. The next prime is 200122000037. The reversal of 200122000020 is 20000221002.

It can be written as a sum of positive squares in 2 ways, for example, as 157753541124 + 42368458896 = 397182^2 + 205836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200121999966 and 200122000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555894265 + ... + 555894624.

Almost surely, 2200122000020 is an apocalyptic number.

200122000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122000020 is an abundant number, since it is smaller than the sum of its proper divisors (406914733920).

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

200122000020 is a wasteful number, since it uses less digits than its factorization.

200122000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111788904 (or 1111788899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200122000020 its reverse (20000221002), we get a palindrome (220122221022).

The spelling of 200122000020 in words is "two hundred billion, one hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1111788889 2223577778 3335366667 4447155556 5558944445 6670733334 10006100001 11117888890 13341466668 16676833335 20012200002 22235777780 33353666670 40024400004 50030500005 66707333340 100061000010 200122000020