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33302132001013 = 19237127193101719
BaseRepresentation
bin1111001001001110000011…
…01111111000100011110101
311100220122121211121221020211
413210213001233320203311
513331110231243013023
6154454442132025421
710004666606314231
oct744470157704365
9140818554557224
1033302132001013
11a67a39a369a37
12389a214762271
1315774ba6b15c5
14831b906015c1
153cb3e8e65a0d
hex1e49c1bf88f5

33302132001013 has 48 divisors (see below), whose sum is σ = 36570140037120. Its totient is φ = 30296899971072.

The previous prime is 33302132001001. The next prime is 33302132001101. The reversal of 33302132001013 is 31010023120333.

It is not a de Polignac number, because 33302132001013 - 241 = 31103108745461 is a prime.

It is a super-2 number, since 2×333021320010132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33302132091013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327342568 + ... + 327444286.

It is an arithmetic number, because the mean of its divisors is an integer number (761877917440).

Almost surely, 233302132001013 is an apocalyptic number.

It is an amenable number.

33302132001013 is a deficient number, since it is larger than the sum of its proper divisors (3268008036107).

33302132001013 is a wasteful number, since it uses less digits than its factorization.

33302132001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102114 (or 102095 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 33302132001013 its reverse (31010023120333), we get a palindrome (64312155121346).

The spelling of 33302132001013 in words is "thirty-three trillion, three hundred two billion, one hundred thirty-two million, one thousand, thirteen".

Divisors: 1 19 37 127 193 361 703 2413 3667 4699 7141 13357 24511 45847 69673 89281 101719 135679 465709 906907 1696339 1932661 2577901 3763603 8848471 12918313 17231233 19631767 36720559 71508457 245447947 327393427 373003573 477977581 726375379 1358660683 2493234409 4663510993 7087067887 9081574039 13801132201 47371453771 92249673133 172549906741 262221511819 900057621649 1752743789527 33302132001013