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23111113212 = 223311112917231
BaseRepresentation
bin10101100001100001…
…111001100111111100
32012122122122012021000
4111201201321213330
5334312421110322
614341143210300
71445500135545
oct254141714774
965578565230
1023111113212
11988a691470
12458ba46990
1322440c4125
1411935734cc
15903e5c3ac
hex5618799fc

23111113212 has 96 divisors (see below), whose sum is σ = 65426457600. Its totient is φ = 6996758400.

The previous prime is 23111113169. The next prime is 23111113229. The reversal of 23111113212 is 21231111132.

23111113212 is a `hidden beast` number, since 231 + 1 + 111 + 321 + 2 = 666.

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.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332637 + ... + 1349867.

It is an arithmetic number, because the mean of its divisors is an integer number (681525600).

Almost surely, 223111113212 is an apocalyptic number.

23111113212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23111113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32713228800).

23111113212 is an abundant number, since it is smaller than the sum of its proper divisors (42315344388).

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

23111113212 is a wasteful number, since it uses less digits than its factorization.

23111113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18384 (or 18376 counting only the distinct ones).

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

Adding to 23111113212 its reverse (21231111132), we get a palindrome (44342224344).

The spelling of 23111113212 in words is "twenty-three billion, one hundred eleven million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1129 1188 2258 3387 4516 6774 10161 12419 13548 17231 20322 24838 30483 34462 37257 40644 49676 51693 60966 68924 74514 103386 111771 121932 149028 155079 189541 206772 223542 310158 335313 379082 447084 465237 568623 620316 670626 758164 930474 1137246 1341252 1705869 1860948 2274492 3411738 5117607 6823476 10235214 19453799 20470428 38907598 58361397 77815196 116722794 175084191 213991789 233445588 350168382 427983578 525252573 641975367 700336764 855967156 1050505146 1283950734 1925926101 2101010292 2567901468 3851852202 5777778303 7703704404 11555556606 23111113212