Search a number
-
+
2123012112 = 243133402263
BaseRepresentation
bin111111010001010…
…1001100000010000
312110221211012010020
41332202221200100
513321442341422
6550355303440
7103416206454
oct17642514020
95427735106
102123012112
1199a426471
124b2baab80
1327aab72b0
14161d5a664
15c65b095c
hex7e8a9810

2123012112 has 40 divisors (see below), whose sum is σ = 5906330304. Its totient is φ = 653234304.

The previous prime is 2123012107. The next prime is 2123012119. The reversal of 2123012112 is 2112103212.

It is a junction number, because it is equal to n+sod(n) for n = 2123012091 and 2123012100.

It is not an unprimeable number, because it can be changed into a prime (2123012119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1700508 + ... + 1701755.

Almost surely, 22123012112 is an apocalyptic number.

It is an amenable number.

2123012112 is an abundant number, since it is smaller than the sum of its proper divisors (3783318192).

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

2123012112 is a wasteful number, since it uses less digits than its factorization.

2123012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402287 (or 3402281 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2123012112 is about 46076.1555687972. The cubic root of 2123012112 is about 1285.2397745825.

Adding to 2123012112 its reverse (2112103212), we get a palindrome (4235115324).

The spelling of 2123012112 in words is "two billion, one hundred twenty-three million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3402263 6804526 10206789 13609052 20413578 27218104 40827156 44229419 54436208 81654312 88458838 132688257 163308624 176917676 265376514 353835352 530753028 707670704 1061506056 2123012112