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2112423012 = 2232734924019
BaseRepresentation
bin111110111101001…
…0000010001100100
312110012220012121100
41331322100101210
513311240014022
6545340320100
7103230204450
oct17572202144
95405805540
102112423012
11994453747
124ab543030
1327884a55b
141607a1660
15c56bd1ac
hex7de90464

2112423012 has 72 divisors (see below), whose sum is σ = 6120296000. Its totient is φ = 601795008.

The previous prime is 2112423011. The next prime is 2112423013. The reversal of 2112423012 is 2103242112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112423011) and next prime (2112423013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2112423011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75939 + ... + 99957.

Almost surely, 22112423012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112423012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060148000).

2112423012 is an abundant number, since it is smaller than the sum of its proper divisors (4007872988).

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

2112423012 is a wasteful number, since it uses less digits than its factorization.

2112423012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24385 (or 24380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2112423012 is about 45961.1032504660. The cubic root of 2112423012 is about 1283.0993844564.

Adding to 2112423012 its reverse (2103242112), we get a palindrome (4215665124).

Subtracting from 2112423012 its reverse (2103242112), we obtain a square (9180900 = 30302).

The spelling of 2112423012 in words is "two billion, one hundred twelve million, four hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 349 698 1047 1396 2094 2443 3141 4188 4886 6282 7329 9772 12564 14658 21987 24019 29316 43974 48038 72057 87948 96076 144114 168133 216171 288228 336266 432342 504399 672532 864684 1008798 1513197 2017596 3026394 6052788 8382631 16765262 25147893 33530524 50295786 58678417 75443679 100591572 117356834 150887358 176035251 234713668 301774716 352070502 528105753 704141004 1056211506 2112423012