Search a number
-
+
112012212101100 = 22352373374040337
BaseRepresentation
bin11001011101111111100000…
…000111001101111111101100
3112200121021002122121122102220
4121131333200013031333230
5104140202002244213400
61034121411100315340
732410421015256123
oct3135774007157754
9480537078548386
10112012212101100
1132766126640313
1210690873242b50
134a6692490064c
141d935c4660aba
15ce3a648aa7a0
hex65dfe01cdfec

112012212101100 has 36 divisors (see below), whose sum is σ = 324088667013384. Its totient is φ = 29869923226880.

The previous prime is 112012212101099. The next prime is 112012212101173. The reversal of 112012212101100 is 1101212210211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112012212101100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186687019869 + ... + 186687020468.

It is an arithmetic number, because the mean of its divisors is an integer number (9002462972594).

Almost surely, 2112012212101100 is an apocalyptic number.

112012212101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012212101100 is an abundant number, since it is smaller than the sum of its proper divisors (212076454912284).

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

112012212101100 is a wasteful number, since it uses less digits than its factorization.

112012212101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373374040354 (or 373374040347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112012212101100 its reverse (1101212210211), we get a palindrome (113113424311311).

The spelling of 112012212101100 in words is "one hundred twelve trillion, twelve billion, two hundred twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 373374040337 746748080674 1120122121011 1493496161348 1866870201685 2240244242022 3733740403370 4480488484044 5600610605055 7467480806740 9334351008425 11201221210110 18668702016850 22402442420220 28003053025275 37337404033700 56006106050550 112012212101100