Search a number
-
+
112110112002 = 2377163159581
BaseRepresentation
bin110100001101001001…
…0001000110100000010
3101201101010221202212110
41220122102020310002
53314100142041002
6123300324440150
711046123141330
oct1503222106402
9351333852773
10112110112002
1143600265529
1219889549056
13a7587185a5
1455d7542b50
152db24aae6c
hex1a1a488d02

112110112002 has 64 divisors (see below), whose sum is σ = 260277055488. Its totient is φ = 31529736000.

The previous prime is 112110111947. The next prime is 112110112043. The reversal of 112110112002 is 200211011211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851852 + ... + 1911432.

It is an arithmetic number, because the mean of its divisors is an integer number (4066828992).

Almost surely, 2112110112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112110112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130138527744).

112110112002 is an abundant number, since it is smaller than the sum of its proper divisors (148166943486).

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

112110112002 is a wasteful number, since it uses less digits than its factorization.

112110112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60295.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112110112002 its reverse (200211011211), we get a palindrome (312321123213).

The spelling of 112110112002 in words is "one hundred twelve billion, one hundred ten million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 631 994 1262 1491 1893 2982 3786 4417 8834 13251 26502 44801 59581 89602 119162 134403 178743 268806 313607 357486 417067 627214 834134 940821 1251201 1881642 2502402 4230251 8460502 12690753 25381506 29611757 37595611 59223514 75191222 88835271 112786833 177670542 225573666 263169277 526338554 789507831 1579015662 2669288381 5338576762 8007865143 16015730286 18685018667 37370037334 56055056001 112110112002