Search a number
-
+
3331022231133 = 324612557313981
BaseRepresentation
bin110000011110010000011…
…001011001011001011101
3102210102221122222221001200
4300132100121121121131
5414033413142344013
611030130034430113
7462441556540122
oct60362031313135
912712848887050
103331022231133
111074751234423
124596a8732339
131b216374589c
14b731813a749
155b9aa64ee73
hex3079065965d

3331022231133 has 24 divisors (see below), whose sum is σ = 4823814731736. Its totient is φ = 2214990748800.

The previous prime is 3331022230969. The next prime is 3331022231137. The reversal of 3331022231133 is 3311322201333.

3331022231133 is a `hidden beast` number, since 3 + 3 + 310 + 2 + 2 + 2 + 311 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79683127524 + 3251339103609 = 282282^2 + 1803147^2 .

It is not a de Polignac number, because 3331022231133 - 212 = 3331022227037 is a prime.

It is a super-2 number, since 2×33310222311332 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3331022231097 and 3331022231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331022231137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10452003 + ... + 10765983.

It is an arithmetic number, because the mean of its divisors is an integer number (200992280489).

Almost surely, 23331022231133 is an apocalyptic number.

It is an amenable number.

3331022231133 is a deficient number, since it is larger than the sum of its proper divisors (1492792500603).

3331022231133 is a wasteful number, since it uses less digits than its factorization.

3331022231133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317005 (or 317002 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3331022231133 its reverse (3311322201333), we get a palindrome (6642344432466).

The spelling of 3331022231133 in words is "three trillion, three hundred thirty-one billion, twenty-two million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 461 1383 2557 4149 7671 23013 313981 941943 1178777 2825829 3536331 10608993 144745241 434235723 802849417 1302707169 2408548251 7225644753 370113581237 1110340743711 3331022231133