Search a number
-
+
212101001222022 = 232112617409330217
BaseRepresentation
bin110000001110011110011100…
…110101011001011110000110
31000210222122202110022212000200
4300032132130311121132012
5210300030322303101042
62031033504350151330
762450535351466263
oct6016363465313606
91023878673285020
10212101001222022
1161644590801170
121b9567181b2546
139147066a35663
143a53a5960c26a
15197c37906cc4c
hexc0e79cd59786

212101001222022 has 48 divisors (see below), whose sum is σ = 501521207018832. Its totient is φ = 64248470703360.

The previous prime is 212101001222017. The next prime is 212101001222081. The reversal of 212101001222022 is 220222100101212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212101001221986 and 212101001222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204146943 + ... + 205183274.

It is an arithmetic number, because the mean of its divisors is an integer number (10448358479559).

Almost surely, 2212101001222022 is an apocalyptic number.

212101001222022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212101001222022 is an abundant number, since it is smaller than the sum of its proper divisors (289420205796810).

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

212101001222022 is a wasteful number, since it uses less digits than its factorization.

212101001222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409332853 (or 409332850 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212101001222022 its reverse (220222100101212), we get a palindrome (432323101323234).

The spelling of 212101001222022 in words is "two hundred twelve trillion, one hundred one billion, one million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2617 5234 7851 15702 23553 28787 47106 57574 86361 172722 259083 518166 409330217 818660434 1227990651 2455981302 3683971953 4502632387 7367943906 9005264774 13507897161 27015794322 40523691483 81047382966 1071217177889 2142434355778 3213651533667 6427303067334 9640954601001 11783388956779 19281909202002 23566777913558 35350166870337 70700333740674 106050500611011 212101001222022