Search a number
-
+
223133303133 = 321323915115281
BaseRepresentation
bin1100111111001111001…
…0000000000101011101
3210022221112200020121100
43033303302000011131
512123434111200013
6250301145023313
722056310532316
oct3176362000535
9708845606540
10223133303133
11866a2a29244
12372b2a84b39
131806cbb2420
14ab2a58d60d
155c0e316473
hex33f3c8015d

223133303133 has 48 divisors (see below), whose sum is σ = 348845253120. Its totient is φ = 136621900800.

The previous prime is 223133303101. The next prime is 223133303153. The reversal of 223133303133 is 331303331322.

223133303133 is a `hidden beast` number, since 2 + 2 + 3 + 13 + 330 + 313 + 3 = 666.

223133303133 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 223133303133 - 25 = 223133303101 is a prime.

It is a super-4 number, since 4×2231333031334 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 223133303097 and 223133303106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223133303153) 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 47 ways as a sum of consecutive naturals, for example, 42249453 + ... + 42254733.

It is an arithmetic number, because the mean of its divisors is an integer number (7267609440).

Almost surely, 2223133303133 is an apocalyptic number.

It is an amenable number.

223133303133 is a deficient number, since it is larger than the sum of its proper divisors (125711949987).

223133303133 is a wasteful number, since it uses less digits than its factorization.

223133303133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 223133303133 its reverse (331303331322), we get a palindrome (554436634455).

The spelling of 223133303133 in words is "two hundred twenty-three billion, one hundred thirty-three million, three hundred three thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 239 717 1511 2151 3107 4533 5281 9321 13599 15843 19643 27963 47529 58929 68653 176787 205959 361129 617877 1083387 1262159 3250161 3786477 4694677 7979591 11359431 14084031 16408067 23938773 42252093 49224201 71816319 103734683 147672603 311204049 933612147 1907122249 5721366747 17164100241 24792589237 74377767711 223133303133