Search a number
-
+
13201322120 = 2357172773387
BaseRepresentation
bin11000100101101110…
…00011000010001000
31021002000121122111022
430102313003002020
5204014014301440
610021542052012
7645066246410
oct142267030210
937060548438
1013201322120
115664890778
12268511a008
131324ccca0c
148d33b3640
15523e6ccb5
hex312dc3088

13201322120 has 64 divisors (see below), whose sum is σ = 35943108480. Its totient is φ = 4259920896.

The previous prime is 13201322107. The next prime is 13201322129. The reversal of 13201322120 is 2122310231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (13201322129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381934 + ... + 1391453.

It is an arithmetic number, because the mean of its divisors is an integer number (561611070).

Almost surely, 213201322120 is an apocalyptic number.

13201322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201322120 is an abundant number, since it is smaller than the sum of its proper divisors (22741786360).

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

13201322120 is a wasteful number, since it uses less digits than its factorization.

13201322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773422 (or 2773418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13201322120 its reverse (2122310231), we get a palindrome (15323632351).

The spelling of 13201322120 in words is "thirteen billion, two hundred one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 2773387 5546774 11093548 13866935 19413709 22187096 27733870 38827418 47147579 55467740 77654836 94295158 97068545 110935480 155309672 188590316 194137090 235737895 330033053 377180632 388274180 471475790 660066106 776548360 942951580 1320132212 1650165265 1885903160 2640264424 3300330530 6600661060 13201322120