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111112010112 = 27310123911987
BaseRepresentation
bin110011101111011001…
…0101011100110000000
3101121210120211221110210
41213132302223212000
53310024133310422
6123013311554120
711012313334305
oct1473662534600
9347716757423
10111112010112
1143138918834
121964b22b940
13a6299c435c
145540b6b0ac
152d54a5210c
hex19decab980

111112010112 has 128 divisors (see below), whose sum is σ = 299335564800. Its totient is φ = 36514150400.

The previous prime is 111112010099. The next prime is 111112010117. The reversal of 111112010112 is 211010211111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1111120101122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112010117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9263383 + ... + 9275369.

It is an arithmetic number, because the mean of its divisors is an integer number (2338559100).

Almost surely, 2111112010112 is an apocalyptic number.

111112010112 is a gapful number since it is divisible by the number (12) 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 111112010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149667782400).

111112010112 is an abundant number, since it is smaller than the sum of its proper divisors (188223554688).

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

111112010112 is a wasteful number, since it uses less digits than its factorization.

111112010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111112010112 its reverse (211010211111), we get a palindrome (322122221223).

The spelling of 111112010112 in words is "one hundred eleven billion, one hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 239 303 384 404 478 606 717 808 956 1212 1434 1616 1912 2424 2868 3232 3824 4848 5736 6464 7648 9696 11472 11987 12928 15296 19392 22944 23974 24139 30592 35961 38784 45888 47948 48278 71922 72417 91776 95896 96556 143844 144834 191792 193112 287688 289668 383584 386224 575376 579336 767168 772448 1150752 1158672 1210687 1534336 1544896 2301504 2317344 2421374 2864893 3089792 3632061 4603008 4634688 4842748 5729786 7264122 8594679 9269376 9685496 11459572 14528244 17189358 19370992 22919144 29056488 34378716 38741984 45838288 58112976 68757432 77483968 91676576 116225952 137514864 154967936 183353152 232451904 275029728 289354193 366706304 464903808 550059456 578708386 868062579 1100118912 1157416772 1736125158 2314833544 3472250316 4629667088 6944500632 9259334176 13889001264 18518668352 27778002528 37037336704 55556005056 111112010112