Search a number
-
+
2121020120200 = 235210605100601
BaseRepresentation
bin11110110111010110101…
…001101001110010001000
321111202201112112221022011
4132313112221221302020
5234222322122321300
64302214434105304
7306144566360602
oct36672651516210
97452645487264
102121020120200
11748579621353
122a309941b234
1312501bbb1957
147492d4a0172
153a28c7daeba
hex1edd6a69c88

2121020120200 has 24 divisors (see below), whose sum is σ = 4931371779930. Its totient is φ = 848408048000.

The previous prime is 2121020120143. The next prime is 2121020120209. The reversal of 2121020120200 is 20210201212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1917288854244 + 203731265956 = 1384662^2 + 451366^2 .

It is not an unprimeable number, because it can be changed into a prime (2121020120209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5302550101 + ... + 5302550500.

Almost surely, 22121020120200 is an apocalyptic number.

2121020120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121020120200 is an abundant number, since it is smaller than the sum of its proper divisors (2810351659730).

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

2121020120200 is a wasteful number, since it uses less digits than its factorization.

2121020120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10605100617 (or 10605100608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2121020120200 its reverse (20210201212), we get a palindrome (2141230321412).

The spelling of 2121020120200 in words is "two trillion, one hundred twenty-one billion, twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10605100601 21210201202 42420402404 53025503005 84840804808 106051006010 212102012020 265127515025 424204024040 530255030050 1060510060100 2121020120200