Search a number
-
+
33321113133 = 3721120606749
BaseRepresentation
bin11111000010000101…
…111101011000101101
310012000012112221010020
4133002011331120231
51021220201110013
623150231032353
72256504534300
oct370205753055
9105005487106
1033321113133
1113149999530
12655b20b6b9
1331b045a3b9
14188155cb37
15d0049c623
hex7c217d62d

33321113133 has 24 divisors (see below), whose sum is σ = 56380068000. Its totient is φ = 17309668320.

The previous prime is 33321113117. The next prime is 33321113167. The reversal of 33321113133 is 33131112333.

It is not a de Polignac number, because 33321113133 - 24 = 33321113117 is a prime.

It is a super-2 number, since 2×333211131332 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33321113183) 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, 10301758 + ... + 10304991.

It is an arithmetic number, because the mean of its divisors is an integer number (2349169500).

Almost surely, 233321113133 is an apocalyptic number.

33321113133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33321113133 is a deficient number, since it is larger than the sum of its proper divisors (23058954867).

33321113133 is a wasteful number, since it uses less digits than its factorization.

33321113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20606777 (or 20606770 counting only the distinct ones).

The product of its digits is 1458, while the sum is 24.

Adding to 33321113133 its reverse (33131112333), we get a palindrome (66452225466).

The spelling of 33321113133 in words is "thirty-three billion, three hundred twenty-one million, one hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 20606749 61820247 144247243 226674239 432741729 680022717 1009730701 1586719673 3029192103 4760159019 11107037711 33321113133