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213223311333 = 3329421646831
BaseRepresentation
bin1100011010010100011…
…0011000011111100101
3202101100220021111112000
43012211012120133211
511443140131430313
6241541535315513
721255605146044
oct3064506303745
9671326244460
10213223311333
118247800077a
12353a807bb99
1317150a4a856
14a46a37a55b
15582e2d7673
hex31a51987e5

213223311333 has 32 divisors (see below), whose sum is σ = 327555724800. Its totient is φ = 136920974400.

The previous prime is 213223311293. The next prime is 213223311341. The reversal of 213223311333 is 333113322312.

213223311333 is a `hidden beast` number, since 2 + 1 + 322 + 3 + 3 + 1 + 1 + 333 = 666.

213223311333 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 213223311333 - 210 = 213223310309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213223311297 and 213223311306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223311373) 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 31 ways as a sum of consecutive naturals, for example, 6228 + ... + 653058.

It is an arithmetic number, because the mean of its divisors is an integer number (10236116400).

Almost surely, 2213223311333 is an apocalyptic number.

It is an amenable number.

213223311333 is a deficient number, since it is larger than the sum of its proper divisors (114332413467).

213223311333 is a wasteful number, since it uses less digits than its factorization.

213223311333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647290 (or 647284 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 213223311333 its reverse (333113322312), we get a palindrome (546336633645).

The spelling of 213223311333 in words is "two hundred thirteen billion, two hundred twenty-three million, three hundred eleven thousand, three hundred thirty-three".

Divisors: 1 3 9 27 29 87 261 421 783 1263 3789 11367 12209 36627 109881 329643 646831 1940493 5821479 17464437 18758099 56274297 168822891 272315851 506468673 816947553 2450842659 7352527977 7897159679 23691479037 71074437111 213223311333