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111345912 = 233297107149
BaseRepresentation
bin1101010001100…
…00000011111000
321202111221212200
412220300003320
5212001032122
615014310200
72521265436
oct650600370
9252457780
10111345912
1157940917
1231358360
131a0b6b72
1410b05d56
159b965ac
hex6a300f8

111345912 has 96 divisors (see below), whose sum is σ = 309582000. Its totient is φ = 36145152.

The previous prime is 111345901. The next prime is 111345917. The reversal of 111345912 is 219543111.

It is a happy number.

It is a super-2 number, since 2×1113459122 = 24795824238223488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111345917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747214 + ... + 747362.

Almost surely, 2111345912 is an apocalyptic number.

111345912 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 111345912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791000).

111345912 is an abundant number, since it is smaller than the sum of its proper divisors (198236088).

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

111345912 is a wasteful number, since it uses less digits than its factorization.

111345912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 111345912 is about 10552.0572401783. The cubic root of 111345912 is about 481.0882599899.

The spelling of 111345912 in words is "one hundred eleven million, three hundred forty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 107 149 194 214 291 298 321 388 428 447 582 596 642 776 856 873 894 963 1164 1192 1284 1341 1746 1788 1926 2328 2568 2682 3492 3576 3852 5364 6984 7704 10379 10728 14453 15943 20758 28906 31137 31886 41516 43359 47829 57812 62274 63772 83032 86718 93411 95658 115624 124548 127544 130077 143487 173436 186822 191316 249096 260154 286974 346872 373644 382632 520308 573948 747288 1040616 1147896 1546471 3092942 4639413 6185884 9278826 12371768 13918239 18557652 27836478 37115304 55672956 111345912