Search a number
-
+
112004310 = 235111911777
BaseRepresentation
bin1101010110100…
…00110011010110
321210202102000210
412223100303112
5212133114220
615040350250
72530010115
oct653206326
9253672023
10112004310
1158250550
1231615386
131a287752
1410c37c7c
159c766e0
hex6ad0cd6

112004310 has 64 divisors (see below), whose sum is σ = 294948864. Its totient is φ = 26995200.

The previous prime is 112004303. The next prime is 112004311. The reversal of 112004310 is 13400211.

It is a happy number.

It is a super-2 number, since 2×1120043102 = 25089930917152200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112004311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62142 + ... + 63918.

It is an arithmetic number, because the mean of its divisors is an integer number (4608576).

Almost surely, 2112004310 is an apocalyptic number.

112004310 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 112004310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

112004310 is an abundant number, since it is smaller than the sum of its proper divisors (182944554).

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

112004310 is a wasteful number, since it uses less digits than its factorization.

112004310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112004310 is about 10583.2088706592. The cubic root of 112004310 is about 482.0346359183.

Adding to 112004310 its reverse (13400211), we get a palindrome (125404521).

The spelling of 112004310 in words is "one hundred twelve million, four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 191 330 382 573 955 1146 1777 1910 2101 2865 3554 4202 5331 5730 6303 8885 10505 10662 12606 17770 19547 21010 26655 31515 39094 53310 58641 63030 97735 117282 195470 293205 339407 586410 678814 1018221 1697035 2036442 3394070 3733477 5091105 7466954 10182210 11200431 18667385 22400862 37334770 56002155 112004310