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200002110122000 = 2453545771832293
BaseRepresentation
bin101101011110011010011110…
…101110100110100000010000
3222020011000101221012100210002
4231132122132232212200100
5202203313310142401000
61545211411224425132
760061450510126634
oct5536323656464020
9866130357170702
10200002110122000
11587aa46713522a
121a5218ba0181a8
13877a16c4b1c94
143756221d86dc4
15181c7a94558d5
hexb5e69eba6810

200002110122000 has 80 divisors (see below), whose sum is σ = 483614227183152. Its totient is φ = 79999334553600.

The previous prime is 200002110121967. The next prime is 200002110122053. The reversal of 200002110122000 is 221011200002.

It is a happy number.

200002110122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22510545942784 + 177491564179216 = 4744528^2 + 13322596^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2000021101220002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108237854 + ... + 110070146.

Almost surely, 2200002110122000 is an apocalyptic number.

200002110122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200002110122000 is an abundant number, since it is smaller than the sum of its proper divisors (283612117061152).

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

200002110122000 is a wasteful number, since it uses less digits than its factorization.

200002110122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886893 (or 1886877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200002110122000 its reverse (221011200002), we get a palindrome (200223121322002).

The spelling of 200002110122000 in words is "two hundred trillion, two billion, one hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 54577 109154 218308 272885 436616 545770 873232 1091540 1364425 1832293 2183080 2728850 3664586 4366160 5457700 6822125 7329172 9161465 10915400 13644250 14658344 18322930 21830800 27288500 29316688 36645860 45807325 54577000 73291720 91614650 109154000 146583440 183229300 229036625 366458600 458073250 732917200 916146500 1832293000 3664586000 100001055061 200002110122 400004220244 500005275305 800008440488 1000010550610 1600016880976 2000021101220 2500026376525 4000042202440 5000052753050 8000084404880 10000105506100 12500131882625 20000211012200 25000263765250 40000422024400 50000527530500 100001055061000 200002110122000