Search a number
-
+
212200000112022 = 231321712310012769
BaseRepresentation
bin110000001111111010101001…
…101000001100010110010110
31000211100010021212012112112020
4300033322221220030112112
5210303141100012041042
62031151200112034010
762460641551251606
oct6017725150142626
91024303255175466
10212200000112022
116168257302552a
121b971946832906
1391534b3009900
143a5876b712c06
15197ec204573ec
hexc0fea9a0c596

212200000112022 has 48 divisors (see below), whose sum is σ = 486590184772560. Its totient is φ = 61451583737856.

The previous prime is 212200000112011. The next prime is 212200000112027. The reversal of 212200000112022 is 220211000002212.

It is a junction number, because it is equal to n+sod(n) for n = 212200000111992 and 212200000112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200000112027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6154989147 + ... + 6155023622.

It is an arithmetic number, because the mean of its divisors is an integer number (10137295516095).

Almost surely, 2212200000112022 is an apocalyptic number.

212200000112022 is an abundant number, since it is smaller than the sum of its proper divisors (274390184660538).

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

212200000112022 is a wasteful number, since it uses less digits than its factorization.

212200000112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12310012817 (or 12310012804 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212200000112022 its reverse (220211000002212), we get a palindrome (432411000114234).

The spelling of 212200000112022 in words is "two hundred twelve trillion, two hundred billion, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 5746 8619 17238 12310012769 24620025538 36930038307 73860076614 160030165997 209270217073 320060331994 418540434146 480090497991 627810651219 960180995982 1255621302438 2080392157961 2720512821949 4160784315922 5441025643898 6241176473883 8161538465847 12482352947766 16323076931694 35366666685337 70733333370674 106100000056011 212200000112022