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23123111112 = 23321923717129
BaseRepresentation
bin10101100010001111…
…101010110011001000
32012200111012202021200
4111202033222303020
5334324004023422
614342252304200
71446004126053
oct254217526310
965614182250
1023123111112
119896436692
124593a72060
13224673518a
141194db7a9a
1590502c2ac
hex5623eacc8

23123111112 has 96 divisors (see below), whose sum is σ = 65958204000. Its totient is φ = 7297931520.

The previous prime is 23123111059. The next prime is 23123111117. The reversal of 23123111112 is 21111132132.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (23123111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3239964 + ... + 3247092.

It is an arithmetic number, because the mean of its divisors is an integer number (687064625).

Almost surely, 223123111112 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 23123111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32979102000).

23123111112 is an abundant number, since it is smaller than the sum of its proper divisors (42835092888).

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

23123111112 is a wasteful number, since it uses less digits than its factorization.

23123111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9524 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 23123111112 its reverse (21111132132), we get a palindrome (44234243244).

The spelling of 23123111112 in words is "twenty-three billion, one hundred twenty-three million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2371 4742 7113 7129 9484 14226 14258 18968 21339 21387 28452 28516 42678 42774 45049 56904 57032 64161 85356 85548 90098 128322 135147 135451 170712 171096 180196 256644 270294 270902 360392 405441 406353 513288 540588 541804 810882 812706 1081176 1083608 1219059 1621764 1625412 2438118 3243528 3250824 4876236 9752472 16902859 33805718 50708577 67611436 101417154 135222872 152125731 202834308 304251462 321154321 405668616 608502924 642308642 963462963 1217005848 1284617284 1926925926 2569234568 2890388889 3853851852 5780777778 7707703704 11561555556 23123111112