Search a number
-
+
3133103022 = 2327210135171
BaseRepresentation
bin1011101010111111…
…0101101110101110
322002100111010100200
42322233311232232
522404033244042
61234521134330
7140432636100
oct27257655656
98070433320
103133103022
111368611745
1273532a3a6
133ac14851a
1421a173570
151350d6c4c
hexbabf5bae

3133103022 has 72 divisors (see below), whose sum is σ = 7975110312. Its totient is φ = 886284000.

The previous prime is 3133103011. The next prime is 3133103053. The reversal of 3133103022 is 2203013313.

3133103022 is a `hidden beast` number, since 31 + 331 + 0 + 302 + 2 = 666.

It is a super-3 number, since 3×31331030223 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3133102986 and 3133103004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71497 + ... + 106667.

It is an arithmetic number, because the mean of its divisors is an integer number (110765421).

Almost surely, 23133103022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133103022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987555156).

3133103022 is an abundant number, since it is smaller than the sum of its proper divisors (4842007290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133103022 is a wasteful number, since it uses less digits than its factorization.

3133103022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35294 (or 35284 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3133103022 is about 55974.1281486367. The cubic root of 3133103022 is about 1463.2714254154.

Adding to 3133103022 its reverse (2203013313), we get a palindrome (5336116335).

The spelling of 3133103022 in words is "three billion, one hundred thirty-three million, one hundred three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 441 606 707 882 909 1414 1818 2121 4242 4949 6363 9898 12726 14847 29694 35171 44541 70342 89082 105513 211026 246197 316539 492394 633078 738591 1477182 1723379 2215773 3446758 3552271 4431546 5170137 7104542 10340274 10656813 15510411 21313626 24865897 31020822 31970439 49731794 63940878 74597691 149195382 174061279 223793073 348122558 447586146 522183837 1044367674 1566551511 3133103022