Search a number
-
+
323333131332 = 22319101112312503
BaseRepresentation
bin1001011010010000010…
…10000000110001000100
31010220120122022220121110
410231020022000301010
520244141240200312
6404312011045020
732234332161321
oct4551012006104
91126518286543
10323333131332
1111514113a212
12527b7740770
132464ac18bb3
1411913d89b48
158625d7443c
hex4b48280c44

323333131332 has 96 divisors (see below), whose sum is σ = 802792811520. Its totient is φ = 100996156800.

The previous prime is 323333131223. The next prime is 323333131333. The reversal of 323333131332 is 233131333323.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 323333131332.

It is not an unprimeable number, because it can be changed into a prime (323333131333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25854193 + ... + 25866695.

It is an arithmetic number, because the mean of its divisors is an integer number (8362425120).

Almost surely, 2323333131332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323333131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401396405760).

323333131332 is an abundant number, since it is smaller than the sum of its proper divisors (479459680188).

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

323333131332 is a wasteful number, since it uses less digits than its factorization.

323333131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13753 (or 13751 counting only the distinct ones).

The product of its digits is 26244, while the sum is 30.

Adding to 323333131332 its reverse (233131333323), we get a palindrome (556464464655).

The spelling of 323333131332 in words is "three hundred twenty-three billion, three hundred thirty-three million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 1123 1212 1919 2246 3369 3838 4492 5757 6738 7676 11514 12503 13476 21337 23028 25006 37509 42674 50012 64011 75018 85348 113423 128022 150036 226846 237557 256044 340269 453692 475114 680538 712671 950228 1262803 1361076 1425342 2155037 2525606 2850684 3788409 4310074 5051212 6465111 7576818 8620148 12930222 14040869 15153636 23993257 25860444 28081738 42122607 47986514 56163476 71979771 84245214 95973028 143959542 168490428 266776511 287919084 533553022 800329533 1067106044 1418127769 1600659066 2836255538 3201318132 4254383307 5672511076 8508766614 17017533228 26944427611 53888855222 80833282833 107777710444 161666565666 323333131332