Search a number
-
+
13333002021 = 3210188116649
BaseRepresentation
bin11000110101011010…
…10111011100100101
31021102012101200100200
430122231113130211
5204301222031041
610043004301113
7651255435003
oct143255273445
937365350320
1013333002021
11572214a839
122701241799
131346386011
14906a8da73
155307ce1b6
hex31ab57725

13333002021 has 24 divisors (see below), whose sum is σ = 19472707800. Its totient is φ = 8790144000.

The previous prime is 13333001977. The next prime is 13333002061. The reversal of 13333002021 is 12020033331.

13333002021 is a `hidden beast` number, since 133 + 330 + 0 + 202 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4898600100 + 8434401921 = 69990^2 + 91839^2 .

It is not a de Polignac number, because 13333002021 - 213 = 13332993829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13333001985 and 13333002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333002061) 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 23 ways as a sum of consecutive naturals, for example, 792505 + ... + 809153.

It is an arithmetic number, because the mean of its divisors is an integer number (811362825).

Almost surely, 213333002021 is an apocalyptic number.

It is an amenable number.

13333002021 is a deficient number, since it is larger than the sum of its proper divisors (6139705779).

13333002021 is a wasteful number, since it uses less digits than its factorization.

13333002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17637 (or 17634 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13333002021 its reverse (12020033331), we get a palindrome (25353035352).

The spelling of 13333002021 in words is "thirteen billion, three hundred thirty-three million, two thousand, twenty-one".

Divisors: 1 3 9 101 303 881 909 2643 7929 16649 49947 88981 149841 266943 800829 1681549 5044647 14667769 15133941 44003307 132009921 1481444669 4444334007 13333002021