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1002201220000 = 255450110061
BaseRepresentation
bin11101001010101111101…
…10010000001110100000
310112210212010101222122201
432211113312100032200
5112410002003020000
62044223242142544
7132256323546031
oct16452766201640
93483763358581
101002201220000
11357038509082
121422971b1a54
1373679336596
1436714920a88
151b109b2496a
hexe957d903a0

1002201220000 has 60 divisors (see below), whose sum is σ = 2465565380586. Its totient is φ = 400880480000.

The previous prime is 1002201219967. The next prime is 1002201220039. The reversal of 1002201220000 is 221022001.

It can be written as a sum of positive squares in 5 ways, for example, as 78518764944 + 923682455056 = 280212^2 + 961084^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 25035031 + ... + 25075030.

Almost surely, 21002201220000 is an apocalyptic number.

1002201220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002201220000 is an abundant number, since it is smaller than the sum of its proper divisors (1463364160586).

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

1002201220000 is an frugal number, since it uses more digits than its factorization.

1002201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50110091 (or 50110068 counting only the distinct ones).

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

Adding to 1002201220000 its reverse (221022001), we get a palindrome (1002422242001).

The spelling of 1002201220000 in words is "one trillion, two billion, two hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 50110061 100220122 200440244 250550305 400880488 501100610 801760976 1002201220 1252751525 1603521952 2004402440 2505503050 4008804880 5011006100 6263757625 8017609760 10022012200 12527515250 20044024400 25055030500 31318788125 40088048800 50110061000 62637576250 100220122000 125275152500 200440244000 250550305000 501100610000 1002201220000