Search a number
-
+
212112022010020 = 225118910833096119
BaseRepresentation
bin110000001110101000101101…
…101110010111100010100100
31000211000201012111212220000221
4300032220231232113202210
5210300220410113310040
62031042530120014124
762451405432602446
oct6016505556274244
91024021174786027
10212112022010020
1161649226748320
121b958893001344
13914810205aca2
143a543c3170496
15197c7c186674a
hexc0ea2db978a4

212112022010020 has 48 divisors (see below), whose sum is σ = 491389240003200. Its totient is φ = 76264996670720.

The previous prime is 212112022009997. The next prime is 212112022010047. The reversal of 212112022010020 is 20010220211212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212112022009976 and 212112022010003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5416528480 + ... + 5416567639.

It is an arithmetic number, because the mean of its divisors is an integer number (10237275833400).

Almost surely, 2212112022010020 is an apocalyptic number.

212112022010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112022010020 is an abundant number, since it is smaller than the sum of its proper divisors (279277217993180).

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

212112022010020 is a wasteful number, since it uses less digits than its factorization.

212112022010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10833096228 (or 10833096226 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212112022010020 its reverse (20010220211212), we get a palindrome (232122242221232).

The spelling of 212112022010020 in words is "two hundred twelve trillion, one hundred twelve billion, twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 19580 10833096119 21666192238 43332384476 54165480595 108330961190 119164057309 216661922380 238328114618 476656229236 595820286545 964145554591 1191640573090 1928291109182 2383281146180 3856582218364 4820727772955 9641455545910 10605601100501 19282911091820 21211202201002 42422404402004 53028005502505 106056011005010 212112022010020