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10012002000200 = 2352436331147297
BaseRepresentation
bin1001000110110001100111…
…0100101001110101001000
31022110010201122010000221022
42101230121310221311020
52303014040003001300
633143241125332012
72052225512561444
oct221543164516510
938403648100838
1010012002000200
113210080131452
121158487267008
135781878405a5
1426882510b824
1512567d95b285
hex91b19d29d48

10012002000200 has 48 divisors (see below), whose sum is σ = 23278458433380. Its totient is φ = 4004705525760.

The previous prime is 10012002000151. The next prime is 10012002000277. The reversal of 10012002000200 is 200020021001.

It can be written as a sum of positive squares in 6 ways, for example, as 9186269944996 + 825732055204 = 3030886^2 + 908698^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8152952 + ... + 9300248.

Almost surely, 210012002000200 is an apocalyptic number.

10012002000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012002000200 is an abundant number, since it is smaller than the sum of its proper divisors (13266456433180).

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

10012002000200 is a wasteful number, since it uses less digits than its factorization.

10012002000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190946 (or 1190937 counting only the distinct ones).

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

Adding to 10012002000200 its reverse (200020021001), we get a palindrome (10212022021201).

The spelling of 10012002000200 in words is "ten trillion, twelve billion, two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 43633 87266 174532 218165 349064 436330 872660 1090825 1147297 1745320 2181650 2294594 4363300 4589188 5736485 8726600 9178376 11472970 22945940 28682425 45891880 57364850 114729700 229459400 50060010001 100120020002 200240040004 250300050005 400480080008 500600100010 1001200200020 1251500250025 2002400400040 2503000500050 5006001000100 10012002000200