Search a number
-
+
103332122322 = 231121310948519
BaseRepresentation
bin110000000111100010…
…0110000111011010010
3100212201101121200202120
41200033010300323102
53143111010403242
6115245313555110
710315444355562
oct1401704607322
9325641550676
10103332122322
113a90631aa00
1218039875a96
139989c5aa60
1450037dcda2
152a4ba351ec
hex180f130ed2

103332122322 has 48 divisors (see below), whose sum is σ = 244633730880. Its totient is φ = 28904087520.

The previous prime is 103332122321. The next prime is 103332122351. The reversal of 103332122322 is 223221233301.

103332122322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103332122292 and 103332122301.

It is not an unprimeable number, because it can be changed into a prime (103332122321) 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, 5464822 + ... + 5483697.

It is an arithmetic number, because the mean of its divisors is an integer number (5096536060).

Almost surely, 2103332122322 is an apocalyptic number.

103332122322 is an abundant number, since it is smaller than the sum of its proper divisors (141301608558).

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

103332122322 is a wasteful number, since it uses less digits than its factorization.

103332122322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948559 (or 10948548 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103332122322 its reverse (223221233301), we get a palindrome (326553355623).

The spelling of 103332122322 in words is "one hundred three billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4719 9438 10948519 21897038 32845557 65691114 120433709 142330747 240867418 284661494 361301127 426992241 722602254 853984482 1324770799 1565638217 2649541598 3131276434 3974312397 4696914651 7948624794 9393829302 17222020387 34444040774 51666061161 103332122322