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1001200200020 = 225436331147297
BaseRepresentation
bin11101001000111000010…
…11101010100101010100
310112201021100210220101122
432210130023222211110
5112400424222400040
62043540042543112
7132222450166316
oct16443413524524
93481240726348
101001200200020
11356674458a39
12142057b07a98
1373549b30077
143665b9c97b6
151b09bce11b5
hexe91c2ea954

1001200200020 has 24 divisors (see below), whose sum is σ = 2102570439144. Its totient is φ = 400470552576.

The previous prime is 1001200200019. The next prime is 1001200200047. The reversal of 1001200200020 is 200020021001.

It can be written as a sum of positive squares in 4 ways, for example, as 669772012816 + 331428187204 = 818396^2 + 575698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001200199980 and 1001200200007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 299012 + ... + 1446308.

It is an arithmetic number, because the mean of its divisors is an integer number (87607101631).

Almost surely, 21001200200020 is an apocalyptic number.

1001200200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001200200020 is an abundant number, since it is smaller than the sum of its proper divisors (1101370239124).

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

1001200200020 is a wasteful number, since it uses less digits than its factorization.

1001200200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190939 (or 1190937 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1001200200020 its reverse (200020021001), we get a palindrome (1201220221021).

The spelling of 1001200200020 in words is "one trillion, one billion, two hundred million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 43633 87266 174532 218165 436330 872660 1147297 2294594 4589188 5736485 11472970 22945940 50060010001 100120020002 200240040004 250300050005 500600100010 1001200200020