Search a number
-
+
12100202022 = 2319311341293
BaseRepresentation
bin10110100010011101…
…00110111000100110
31011020021122221200110
423101032212320212
5144240122431042
65320405153450
7605566006626
oct132116467046
934207587613
1012100202022
11514a280967
1224183bb886
1311aab4926c
1482b062886
154ac46509c
hex2d13a6e26

12100202022 has 32 divisors (see below), whose sum is σ = 25556094720. Its totient is φ = 3808818720.

The previous prime is 12100202017. The next prime is 12100202027. The reversal of 12100202022 is 22020200121.

12100202022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12100202017) and next prime (12100202027).

It is a junction number, because it is equal to n+sod(n) for n = 12100201989 and 12100202007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100202027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135193 + ... + 206100.

It is an arithmetic number, because the mean of its divisors is an integer number (798627960).

Almost surely, 212100202022 is an apocalyptic number.

12100202022 is an abundant number, since it is smaller than the sum of its proper divisors (13455892698).

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

12100202022 is a wasteful number, since it uses less digits than its factorization.

12100202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341628.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12100202022 its reverse (22020200121), we get a palindrome (34120402143).

The spelling of 12100202022 in words is "twelve billion, one hundred million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 19 38 57 114 311 622 933 1866 5909 11818 17727 35454 341293 682586 1023879 2047758 6484567 12969134 19453701 38907402 106142123 212284246 318426369 636852738 2016700337 4033400674 6050101011 12100202022