Search a number
-
+
33301223232121 = 13411091816914583
BaseRepresentation
bin1111001001001100010111…
…00101001101001001111001
311100220120021111121200200201
413210212023211031021321
513331101401121411441
6154454212030002201
710004635233024235
oct744461345151171
9140816244550621
1033301223232121
11a679a73398469
12389a000346361
1315773a4337830
14831b05a415c5
153cb3942a5c31
hex1e498b94d279

33301223232121 has 64 divisors (see below), whose sum is σ = 37341529505280. Its totient is φ = 29501335296000.

The previous prime is 33301223232113. The next prime is 33301223232133. The reversal of 33301223232121 is 12123232210333.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 33301223232121 - 23 = 33301223232113 is a prime.

It is a super-2 number, since 2×333012232321212 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33301223232121.

It is not an unprimeable number, because it can be changed into a prime (33301223232521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7266247596 + ... + 7266252178.

It is an arithmetic number, because the mean of its divisors is an integer number (583461398520).

Almost surely, 233301223232121 is an apocalyptic number.

It is an amenable number.

33301223232121 is a deficient number, since it is larger than the sum of its proper divisors (4040306273159).

33301223232121 is a wasteful number, since it uses less digits than its factorization.

33301223232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 33301223232121 its reverse (12123232210333), we get a palindrome (45424455442454).

The spelling of 33301223232121 in words is "thirty-three trillion, three hundred one billion, two hundred twenty-three million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 13 41 109 181 533 691 1417 2353 4469 4583 7421 8983 19729 28331 58097 59579 75319 96473 125071 187903 256477 368303 499547 808889 829523 979147 1625923 2442739 3088079 3166853 5127911 6494111 10515557 10783799 13632739 20481427 34010443 40145027 41169089 66662843 90418007 129840973 177225607 266258551 345186977 442135759 558942299 573200393 1175434091 1687932649 3707138287 4487430701 7266249887 7451605109 14152666057 23501216113 48192797731 62478842837 183984658741 305515809469 812224956881 2561632556317 33301223232121