Search a number
-
+
13322231132 = 227311178693
BaseRepresentation
bin11000110100001000…
…10001110101011100
31021101110010110110212
430122010101311130
5204240442344012
610041541351552
7651065045000
oct143204216534
937343113425
1013322231132
115717063481
1226b97085b8
131344084602
14905488700
1552e8a2b22
hex31a111d5c

13322231132 has 48 divisors (see below), whose sum is σ = 27215697600. Its totient is φ = 5703759936.

The previous prime is 13322231129. The next prime is 13322231173. The reversal of 13322231132 is 23113222331.

It is a junction number, because it is equal to n+sod(n) for n = 13322231098 and 13322231107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528178 + ... + 1536870.

It is an arithmetic number, because the mean of its divisors is an integer number (566993700).

Almost surely, 213322231132 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 13322231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13607848800).

13322231132 is an abundant number, since it is smaller than the sum of its proper divisors (13893466468).

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

13322231132 is a wasteful number, since it uses less digits than its factorization.

13322231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9819 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

Adding to 13322231132 its reverse (23113222331), we get a palindrome (36435453463).

The spelling of 13322231132 in words is "thirteen billion, three hundred twenty-two million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1117 1372 2234 4468 7819 8693 15638 17386 31276 34772 54733 60851 109466 121702 218932 243404 383131 425957 766262 851914 1532524 1703828 2981699 5963398 9710081 11926796 19420162 38840324 67970567 135941134 271882268 475793969 951587938 1903175876 3330557783 6661115566 13322231132