Search a number
-
+
33310323202013 = 111317226912492399
BaseRepresentation
bin1111001001011101010011…
…11110110101011111011101
311100221102202200211001121122
413210232221332311133131
513331224020214431023
6154502315021540325
710005406601343554
oct744565176653735
9140842680731548
1033310323202013
11a68291305a540
12389b91ba146a5
1315781c471a9c0
1483232a43ad9b
153cb72812d2c8
hex1e4ba9fb57dd

33310323202013 has 96 divisors (see below), whose sum is σ = 41776560000000. Its totient is φ = 26178738094080.

The previous prime is 33310323202001. The next prime is 33310323202103. The reversal of 33310323202013 is 31020232301333.

It is a happy number.

It is not a de Polignac number, because 33310323202013 - 24 = 33310323201997 is a prime.

It is a super-2 number, since 2×333103232020132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33310323201013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13885085588 + ... + 13885087986.

It is an arithmetic number, because the mean of its divisors is an integer number (435172500000).

Almost surely, 233310323202013 is an apocalyptic number.

It is an amenable number.

33310323202013 is a deficient number, since it is larger than the sum of its proper divisors (8466236797987).

33310323202013 is a wasteful number, since it uses less digits than its factorization.

33310323202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 33310323202013 its reverse (31020232301333), we get a palindrome (64330555503346).

The spelling of 33310323202013 in words is "thirty-three trillion, three hundred ten billion, three hundred twenty-three million, two hundred two thousand, thirteen".

Divisors: 1 11 13 17 143 187 221 269 289 1249 2399 2431 2959 3179 3497 3757 4573 13739 16237 21233 26389 31187 38467 40783 41327 50303 59449 77741 178607 233563 276029 335981 343057 360961 448613 530179 645331 653939 693311 855151 1010633 2996351 3036319 3695791 3970571 4367753 4692493 5711677 5831969 7098641 7626421 8389303 9013043 10970627 11116963 32959861 38952563 48045283 50937967 51617423 62828447 74251801 92282333 97098509 99143473 120676897 142618151 186500659 428478193 560317637 662193571 806018419 816769811 865945439 1068083599 1262280617 1568799661 2051507249 2424508567 7284129281 8866202609 9525399829 10478239447 11257290707 13702313123 13885086787 26669594237 115260633917 123830197777 150725444353 178130070599 232939323091 1959430776589 2562332554001 3028211200183 33310323202013