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1233300013 = 11196196737
BaseRepresentation
bin100100110000010…
…1010101000101101
310011221200010120021
41021200222220231
510011211100023
6322213522141
742363606601
oct11140525055
93157603507
101233300013
11583190610
122a5043351
1316868352a
14b9b1b501
157341735d
hex4982aa2d

1233300013 has 16 divisors (see below), whose sum is σ = 1439461440. Its totient is φ = 1044748800.

The previous prime is 1233299999. The next prime is 1233300031. The reversal of 1233300013 is 3100033321.

It is a cyclic number.

It is not a de Polignac number, because 1233300013 - 229 = 696429101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1233300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233300053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35620 + ... + 61117.

It is an arithmetic number, because the mean of its divisors is an integer number (89966340).

Almost surely, 21233300013 is an apocalyptic number.

It is an amenable number.

1233300013 is a deficient number, since it is larger than the sum of its proper divisors (206161427).

1233300013 is a wasteful number, since it uses less digits than its factorization.

1233300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96828.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1233300013 is about 35118.3714457262. The cubic root of 1233300013 is about 1072.3986173168.

Adding to 1233300013 its reverse (3100033321), we get a palindrome (4333333334).

The spelling of 1233300013 in words is "one billion, two hundred thirty-three million, three hundred thousand, thirteen".

Divisors: 1 11 19 61 209 671 1159 12749 96737 1064107 1838003 5900957 20218033 64910527 112118183 1233300013