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213223122333 = 3313764379481
BaseRepresentation
bin1100011010010100010…
…1101010010110011101
3202101100212220220021000
43012211011222112131
511443140104403313
6241541531300513
721255603431034
oct3064505522635
9671325826230
10213223122333
1182477991781
12353a7baa739
13171509b2810
14a46a32b71b
15582e29b673
hex31a516a59d

213223122333 has 32 divisors (see below), whose sum is σ = 340233828480. Its totient is φ = 131195410560.

The previous prime is 213223122317. The next prime is 213223122337. The reversal of 213223122333 is 333221322312.

213223122333 is a `hidden beast` number, since 2 + 1 + 322 + 3 + 1 + 2 + 2 + 333 = 666.

213223122333 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 213223122333 - 24 = 213223122317 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 = 213223122297 and 213223122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223122337) 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, 2642953 + ... + 2722433.

It is an arithmetic number, because the mean of its divisors is an integer number (10632307140).

Almost surely, 2213223122333 is an apocalyptic number.

It is an amenable number.

213223122333 is a deficient number, since it is larger than the sum of its proper divisors (127010706147).

213223122333 is a wasteful number, since it uses less digits than its factorization.

213223122333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87146 (or 87140 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 213223122333 its reverse (333221322312), we get a palindrome (546444444645).

The spelling of 213223122333 in words is "two hundred thirteen billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 7643 22929 68787 79481 99359 206361 238443 298077 715329 894231 1033253 2145987 2682693 3099759 9299277 27897831 607473283 1822419849 5467259547 7897152679 16401778641 23691458037 71074374111 213223122333