Search a number
-
+
212233021310020 = 22514938069880853
BaseRepresentation
bin110000010000011001011001…
…110110000100010001000100
31000211110021112011102012102111
4300100121121312010101010
5210304211211423410040
62031214300510550404
762463221054642104
oct6020313166042104
91024407464365374
10212233021310020
1161695578698307
121b978221508404
139156646298a19
143a5a1c10c1204
151980a04410dea
hexc10659d84444

212233021310020 has 48 divisors (see below), whose sum is σ = 446043642211440. Its totient is φ = 84825737540096.

The previous prime is 212233021309999. The next prime is 212233021310021. The reversal of 212233021310020 is 20013120332212.

It can be written as a sum of positive squares in 8 ways, for example, as 32361148406596 + 179871872903424 = 5688686^2 + 13411632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212233021309973 and 212233021310000.

It is not an unprimeable number, because it can be changed into a prime (212233021310021) 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, 240499914 + ... + 241380766.

It is an arithmetic number, because the mean of its divisors is an integer number (9292575879405).

Almost surely, 2212233021310020 is an apocalyptic number.

212233021310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233021310020 is an abundant number, since it is smaller than the sum of its proper divisors (233810620901420).

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

212233021310020 is a wasteful number, since it uses less digits than its factorization.

212233021310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890424 (or 890422 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212233021310020 its reverse (20013120332212), we get a palindrome (232246141642232).

The spelling of 212233021310020 in words is "two hundred twelve trillion, two hundred thirty-three billion, twenty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 1493 2986 5972 7465 8069 14930 16138 29860 32276 40345 80690 161380 880853 1761706 3523412 4404265 8808530 12047017 17617060 24094034 48188068 60235085 120470170 240940340 1315113529 2630227058 5260454116 6575567645 7107602857 13151135290 14215205714 26302270580 28430411428 35538014285 71076028570 142152057140 10611651065501 21223302131002 42446604262004 53058255327505 106116510655010 212233021310020