Search a number
-
+
100202220200 = 23524057123493
BaseRepresentation
bin101110101010010000…
…1001000101010101000
3100120122021011012012202
41131110201020222220
53120203232021300
6114010545155332
710145050550525
oct1352441105250
9316567135182
10100202220200
113954a5a5135
121750562bb48
1395ab693474
144bc7c6014c
152916d81ad5
hex1754848aa8

100202220200 has 48 divisors (see below), whose sum is σ = 233029473180. Its totient is φ = 40070684160.

The previous prime is 100202220191. The next prime is 100202220203. The reversal of 100202220200 is 2022202001.

100202220200 is digitally balanced in base 3, 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 6 ways, for example, as 24000826084 + 76201394116 = 154922^2 + 276046^2 .

It is not an unprimeable number, because it can be changed into a prime (100202220203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749654 + ... + 873146.

Almost surely, 2100202220200 is an apocalyptic number.

100202220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202220200 is an abundant number, since it is smaller than the sum of its proper divisors (132827252980).

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

100202220200 is a wasteful number, since it uses less digits than its factorization.

100202220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127566 (or 127557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 100202220200 its reverse (2022202001), we get a palindrome (102224422201).

The spelling of 100202220200 in words is "one hundred billion, two hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4057 8114 16228 20285 32456 40570 81140 101425 123493 162280 202850 246986 405700 493972 617465 811400 987944 1234930 2469860 3087325 4939720 6174650 12349300 24698600 501011101 1002022202 2004044404 2505055505 4008088808 5010111010 10020222020 12525277525 20040444040 25050555050 50101110100 100202220200