Search a number
-
+
212111110002222 = 232101780411495019
BaseRepresentation
bin110000001110100111110111…
…010111010101011000101110
31000211000121211221210002112100
4300032213313113111120232
5210300212023130032342
62031042255420315530
762451344016632544
oct6016476727253056
91024017757702470
10212111110002222
11616488a8964372
121b9586796a2ba6
139147cb811bbc2
143a54337da9d94
15197c76b766e4c
hexc0e9f75d562e

212111110002222 has 48 divisors (see below), whose sum is σ = 464130567641520. Its totient is φ = 70002722832000.

The previous prime is 212111110002193. The next prime is 212111110002227. The reversal of 212111110002222 is 222200011111212.

It is a super-2 number, since 2×2121111100022222 (a number of 29 digits) contains 22 as substring.

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 = 212111110002195 and 212111110002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111110002227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141131029 + ... + 142626047.

It is an arithmetic number, because the mean of its divisors is an integer number (9669386825865).

Almost surely, 2212111110002222 is an apocalyptic number.

212111110002222 is an abundant number, since it is smaller than the sum of its proper divisors (252019457639298).

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

212111110002222 is a wasteful number, since it uses less digits than its factorization.

212111110002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573169 (or 1573166 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212111110002222 its reverse (222200011111212), we get a palindrome (434311121113434).

The spelling of 212111110002222 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred ten million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 78041 156082 234123 468246 702369 1404738 1495019 2990038 4485057 7882141 8970114 13455171 15764282 23646423 26910342 47292846 70939269 141878538 150996919 301993838 452990757 905981514 1358972271 2717944542 116672777779 233345555558 350018333337 700036666674 1050055000011 2100110000022 11783950555679 23567901111358 35351851667037 70703703334074 106055555001111 212111110002222