Search a number
-
+
113314242450 = 23526727114159
BaseRepresentation
bin110100110001000001…
…1100001111110010010
3101211111001201221022110
41221202003201332102
53324031421224300
6124020021250150
711121014111613
oct1514203417622
9354431657273
10113314242450
1144068a32562
1219b64863956
13a8bb027b06
1456ad429c0a
152e33060550
hex1a620e1f92

113314242450 has 96 divisors (see below), whose sum is σ = 285387448320. Its totient is φ = 29747995200.

The previous prime is 113314242409. The next prime is 113314242467. The reversal of 113314242450 is 54242413311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27243471 + ... + 27247629.

It is an arithmetic number, because the mean of its divisors is an integer number (2972785920).

Almost surely, 2113314242450 is an apocalyptic number.

113314242450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113314242450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142693724160).

113314242450 is an abundant number, since it is smaller than the sum of its proper divisors (172073205870).

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

113314242450 is a wasteful number, since it uses less digits than its factorization.

113314242450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 113314242450 its reverse (54242413311), we get a palindrome (167556655761).

The spelling of 113314242450 in words is "one hundred thirteen billion, three hundred fourteen million, two hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 2711 3350 4159 5025 5422 8133 8318 10050 12477 13555 16266 20795 24954 27110 40665 41590 62385 67775 81330 103975 124770 135550 181637 203325 207950 278653 311925 363274 406650 544911 557306 623850 835959 908185 1089822 1393265 1671918 1816370 2724555 2786530 4179795 4540925 5449110 6966325 8359590 9081850 11275049 13622775 13932650 20898975 22550098 27245550 33825147 41797950 56375245 67650294 112750490 169125735 281876225 338251470 563752450 755428283 845628675 1510856566 1691257350 2266284849 3777141415 4532569698 7554282830 11331424245 18885707075 22662848490 37771414150 56657121225 113314242450