Search a number
-
+
1003112112 = 24320898169
BaseRepresentation
bin111011110010100…
…100011010110000
32120220112101010110
4323302210122300
54023244041422
6243312101320
733600212052
oct7362443260
92526471113
101003112112
11475259a82
1223bb34840
1312ca89882
149731b8d2
155d0e860c
hex3bca46b0

1003112112 has 20 divisors (see below), whose sum is σ = 2591373080. Its totient is φ = 334370688.

The previous prime is 1003112101. The next prime is 1003112119. The reversal of 1003112112 is 2112113001.

1003112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10031121122 = 2012467818482201088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1003112119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10449037 + ... + 10449132.

It is an arithmetic number, because the mean of its divisors is an integer number (129568654).

Almost surely, 21003112112 is an apocalyptic number.

1003112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003112112 is an abundant number, since it is smaller than the sum of its proper divisors (1588260968).

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

1003112112 is a wasteful number, since it uses less digits than its factorization.

1003112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20898180 (or 20898174 counting only the distinct ones).

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

The square root of 1003112112 is about 31671.9451881314. The cubic root of 1003112112 is about 1001.0362963855.

Adding to 1003112112 its reverse (2112113001), we get a palindrome (3115225113).

The spelling of 1003112112 in words is "one billion, three million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 20898169 41796338 62694507 83592676 125389014 167185352 250778028 334370704 501556056 1003112112