Search a number
-
+
12344041100 = 2252407330307
BaseRepresentation
bin10110111111100001…
…10001111010001100
31011212021111021000102
423133300301322030
5200240033303400
65400515350232
7614616422006
oct133760617214
934767437012
1012344041100
115264986866
122485bb2378
131219512641
148515b7376
154c3a7d9d5
hex2dfc31e8c

12344041100 has 36 divisors (see below), whose sum is σ = 26794029864. Its totient is φ = 4936241280.

The previous prime is 12344041091. The next prime is 12344041111. The reversal of 12344041100 is 114044321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392147 + ... + 422453.

Almost surely, 212344041100 is an apocalyptic number.

12344041100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344041100 is an abundant number, since it is smaller than the sum of its proper divisors (14449988764).

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

12344041100 is a wasteful number, since it uses less digits than its factorization.

12344041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34394 (or 34387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12344041100 its reverse (114044321), we get a palindrome (12458085421).

The spelling of 12344041100 in words is "twelve billion, three hundred forty-four million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4073 8146 16292 20365 30307 40730 60614 81460 101825 121228 151535 203650 303070 407300 606140 757675 1515350 3030700 123440411 246880822 493761644 617202055 1234404110 2468808220 3086010275 6172020550 12344041100