Search a number
-
+
112132113401 = 7112196967757
BaseRepresentation
bin110100001101110011…
…0000100001111111001
3101201102200100120010002
41220123212010033321
53314121310112101
6123302432202345
711046511144340
oct1503346041771
9351380316102
10112132113401
1143611722500
12198949993b5
13a76014c979
1455da42cb57
152db43a4d6b
hex1a1b9843f9

112132113401 has 24 divisors (see below), whose sum is σ = 148273890240. Its totient is φ = 82776941280.

The previous prime is 112132113389. The next prime is 112132113403. The reversal of 112132113401 is 104311231211.

It is not a de Polignac number, because 112132113401 - 214 = 112132097017 is a prime.

It is a super-2 number, since 2×1121321134012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112132113403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3467786 + ... + 3499971.

It is an arithmetic number, because the mean of its divisors is an integer number (6178078760).

Almost surely, 2112132113401 is an apocalyptic number.

112132113401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112132113401 is a deficient number, since it is larger than the sum of its proper divisors (36141776839).

112132113401 is a wasteful number, since it uses less digits than its factorization.

112132113401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967805 (or 6967794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 112132113401 its reverse (104311231211), we get a palindrome (216443344612).

The spelling of 112132113401 in words is "one hundred twelve billion, one hundred thirty-two million, one hundred thirteen thousand, four hundred one".

Divisors: 1 7 11 19 77 121 133 209 847 1463 2299 16093 6967757 48774299 76645327 132387383 536517289 843098597 926711681 1456261213 5901690179 10193828491 16018873343 112132113401