Search a number
-
+
12213333013221 = 3229150773103693
BaseRepresentation
bin1011000110111010001101…
…1000000011001011100101
31121020120202011210001000100
42301232203120003023211
53100100401222410341
641550421104534313
72400245530502124
oct261564330031345
947216664701010
1012213333013221
1139897110a319a
121453038621399
136a7935099ba2
143031b2753abb
15162a6bb773b6
hexb1ba36032e5

12213333013221 has 24 divisors (see below), whose sum is σ = 18251024271480. Its totient is φ = 7860931779456.

The previous prime is 12213333013213. The next prime is 12213333013241. The reversal of 12213333013221 is 12231033331221.

12213333013221 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 3 + 330 + 1 + 322 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47286677025 + 12166046336196 = 217455^2 + 3487986^2 .

It is not a de Polignac number, because 12213333013221 - 23 = 12213333013213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213333013241) 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, 2383251 + ... + 5486943.

It is an arithmetic number, because the mean of its divisors is an integer number (760459344645).

Almost surely, 212213333013221 is an apocalyptic number.

It is an amenable number.

12213333013221 is a deficient number, since it is larger than the sum of its proper divisors (6037691258259).

12213333013221 is a wasteful number, since it uses less digits than its factorization.

12213333013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118805 (or 3118802 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12213333013221 its reverse (12231033331221), we get a palindrome (24444366344442).

The spelling of 12213333013221 in words is "twelve trillion, two hundred thirteen billion, three hundred thirty-three million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 261 15077 45231 135693 437233 1311699 3103693 3935097 9311079 27933237 90007097 270021291 810063873 46794379361 140383138083 421149414249 1357037001469 4071111004407 12213333013221