Search a number
-
+
212112121233 = 32914391694281
BaseRepresentation
bin1100010110001011011…
…1100001110110010001
3202021111110101012021010
43011202313201312101
511433401200334413
6241235402521133
721216223165545
oct3054267416621
9667443335233
10212112121233
1181a57843151
1235137b061a9
131700477c70c
14a3a2967a25
1557b6990dc3
hex3162de1d91

212112121233 has 16 divisors (see below), whose sum is σ = 292771929600. Its totient is φ = 136436979840.

The previous prime is 212112121219. The next prime is 212112121253. The reversal of 212112121233 is 332121211212.

212112121233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212112121233 - 28 = 212112120977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212112121253) 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 15 ways as a sum of consecutive naturals, for example, 721948 + ... + 972333.

It is an arithmetic number, because the mean of its divisors is an integer number (18298245600).

Almost surely, 2212112121233 is an apocalyptic number.

It is an amenable number.

212112121233 is a deficient number, since it is larger than the sum of its proper divisors (80659808367).

212112121233 is a wasteful number, since it uses less digits than its factorization.

212112121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695752.

The product of its digits is 288, while the sum is 21.

Adding to 212112121233 its reverse (332121211212), we get a palindrome (544233332445).

The spelling of 212112121233 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 29 87 1439 4317 41731 125193 1694281 5082843 49134149 147402447 2438070359 7314211077 70704040411 212112121233