Search a number
-
+
12343132120 = 2351128052573
BaseRepresentation
bin10110111111011010…
…10011111111011000
31011212012210002010111
423133231103333120
5200234320211440
65400444054104
7614605614634
oct133755237730
934765702114
1012343132120
115264415940
122485834334
131219284997
1485141bdc4
154c394e4ea
hex2dfb53fd8

12343132120 has 32 divisors (see below), whose sum is σ = 30296779920. Its totient is φ = 4488411520.

The previous prime is 12343132099. The next prime is 12343132133. The reversal of 12343132120 is 2123134321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12343132091 and 12343132100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14025847 + ... + 14026726.

Almost surely, 212343132120 is an apocalyptic number.

12343132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12343132120 is an abundant number, since it is smaller than the sum of its proper divisors (17953647800).

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

12343132120 is a wasteful number, since it uses less digits than its factorization.

12343132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28052595 (or 28052591 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12343132120 its reverse (2123134321), we get a palindrome (14466266441).

It can be divided in two parts, 123431 and 32120, that added together give a palindrome (155551).

The spelling of 12343132120 in words is "twelve billion, three hundred forty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 28052573 56105146 112210292 140262865 224420584 280525730 308578303 561051460 617156606 1122102920 1234313212 1542891515 2468626424 3085783030 6171566060 12343132120