Search a number
-
+
212113131113 = 1380892017109
BaseRepresentation
bin1100010110001011101…
…1011000011001101001
3202021111112021111120002
43011202323120121221
511433401430143423
6241235440312345
721216234603032
oct3054273303151
9667445244502
10212113131113
1181a58372964
12351383126b5
1317004a44290
14a3a2b4ba89
1557b6ae0228
hex3162ed8669

212113131113 has 8 divisors (see below), whose sum is σ = 228457878600. Its totient is φ = 195772434048.

The previous prime is 212113131107. The next prime is 212113131149. The reversal of 212113131113 is 311131311212.

212113131113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5822758249 + 206290372864 = 76307^2 + 454192^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212113131113 - 26 = 212113131049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212113134113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903398 + ... + 1113711.

It is an arithmetic number, because the mean of its divisors is an integer number (28557234825).

Almost surely, 2212113131113 is an apocalyptic number.

It is an amenable number.

212113131113 is a deficient number, since it is larger than the sum of its proper divisors (16344747487).

212113131113 is a wasteful number, since it uses less digits than its factorization.

212113131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025211.

The product of its digits is 108, while the sum is 20.

Adding to 212113131113 its reverse (311131311212), we get a palindrome (523244442325).

The spelling of 212113131113 in words is "two hundred twelve billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 13 8089 105157 2017109 26222417 16316394701 212113131113