Search a number
-
+
3013233113331 = 3271511734434133
BaseRepresentation
bin101011110110010010101…
…100000111100011110011
3101200001200101201002021200
4223312102230013203303
5343332100134111311
610224132111022243
7430461503602320
oct53662254074363
911601611632250
103013233113331
11a619a55a0681
12407b9980a983
1318b1ba2b0c8c
14a5bac5c3b47
15535ab391556
hex2bd92b078f3

3013233113331 has 96 divisors (see below), whose sum is σ = 5048700613632. Its totient is φ = 1696308307200.

The previous prime is 3013233113327. The next prime is 3013233113353. The reversal of 3013233113331 is 1333113323103.

3013233113331 is a `hidden beast` number, since 3 + 0 + 1 + 323 + 3 + 1 + 1 + 3 + 331 = 666.

It is not a de Polignac number, because 3013233113331 - 22 = 3013233113327 is a prime.

It is a super-2 number, since 2×30132331133312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3013233113295 and 3013233113304.

It is not an unprimeable number, because it can be changed into a prime (3013233113131) 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 95 ways as a sum of consecutive naturals, for example, 729064741 + ... + 729068873.

It is an arithmetic number, because the mean of its divisors is an integer number (52590631392).

Almost surely, 23013233113331 is an apocalyptic number.

3013233113331 is a deficient number, since it is larger than the sum of its proper divisors (2035467500301).

3013233113331 is a wasteful number, since it uses less digits than its factorization.

3013233113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3013233113331 its reverse (1333113323103), we get a palindrome (4346346436434).

The spelling of 3013233113331 in words is "three trillion, thirteen billion, two hundred thirty-three million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 151 173 443 453 519 1057 1211 1329 1359 1557 3101 3171 3633 3987 4133 9303 9513 10899 12399 26123 27909 28931 37197 66893 76639 78369 86793 182861 200679 229917 235107 260379 468251 536473 548583 602037 624083 689751 715009 1404753 1609419 1645749 1830919 1872249 2145027 4214259 4368581 4828257 5005063 5492757 5616747 6435081 11572489 12816433 13105743 15015189 16478271 34717467 38449299 39317229 45045567 81007423 104152401 107966359 115347897 243022269 276468769 316748987 323899077 729066807 755764513 829406307 950246961 971697231 1935281383 2217242909 2267293539 2488218921 2850740883 5805844149 6651728727 6801880617 17417532447 19955186181 47829097037 143487291111 334803679259 430461873333 1004411037777 3013233113331