Search a number
-
+
112104104200 = 23521126175941
BaseRepresentation
bin110100001100111101…
…1001110000100001000
3101201100201122112201021
41220121323032010020
53314042122313300
6123255552002224
711046021110014
oct1503173160410
9351321575637
10112104104200
11435a7931800
1219887530374
13a7573c3b8a
1455d681b544
152db1bc0d1a
hex1a19ece108

112104104200 has 144 divisors (see below), whose sum is σ = 291191245380. Its totient is φ = 40096320000.

The previous prime is 112104104153. The next prime is 112104104227. The reversal of 112104104200 is 2401401211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30798144036 + 81305960164 = 175494^2 + 285142^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1438230 + ... + 1514170.

Almost surely, 2112104104200 is an apocalyptic number.

112104104200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112104104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145595622690).

112104104200 is an abundant number, since it is smaller than the sum of its proper divisors (179087141180).

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

112104104200 is a wasteful number, since it uses less digits than its factorization.

112104104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76040 (or 76020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112104104200 its reverse (2401401211), we get a palindrome (114505505411).

The spelling of 112104104200 in words is "one hundred twelve billion, one hundred four million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 121 122 200 220 242 244 275 305 440 484 488 550 605 610 671 968 1100 1210 1220 1342 1525 2200 2420 2440 2684 3025 3050 3355 4840 5368 6050 6100 6710 7381 12100 12200 13420 14762 16775 24200 26840 29524 33550 36905 59048 67100 73810 75941 134200 147620 151882 184525 295240 303764 369050 379705 607528 738100 759410 835351 1476200 1518820 1670702 1898525 3037640 3341404 3797050 4176755 4632401 6682808 7594100 8353510 9188861 9264802 15188200 16707020 18377722 18529604 20883775 23162005 33414040 36755444 37059208 41767550 45944305 46324010 50956411 73510888 83535100 91888610 92648020 101912822 115810025 167070200 183777220 185296040 203825644 229721525 231620050 254782055 367554440 407651288 459443050 463240100 509564110 560520521 918886100 926480200 1019128220 1121041042 1273910275 1837772200 2038256440 2242082084 2547820550 2802602605 4484164168 5095641100 5605205210 10191282200 11210410420 14013013025 22420820840 28026026050 56052052100 112104104200