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111921912 = 23376397
BaseRepresentation
bin1101010101111…
…00101011111000
321210121020000000
412222330223320
5212123000122
615034513000
72526214644
oct652745370
9253536000
10111921912
11581a4653
1231595760
131a2590ab
1410c15c24
159c5c0ac
hex6abcaf8

111921912 has 64 divisors (see below), whose sum is σ = 314781600. Its totient is φ = 37301472.

The previous prime is 111921911. The next prime is 111921917. The reversal of 111921912 is 219129111.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111921911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14298 + ... + 20694.

Almost surely, 2111921912 is an apocalyptic number.

111921912 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 111921912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157390800).

111921912 is an abundant number, since it is smaller than the sum of its proper divisors (202859688).

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

111921912 is an frugal number, since it uses more digits than its factorization.

111921912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6402 counting only the distinct ones).

The product of its digits is 324, while the sum is 27.

The square root of 111921912 is about 10579.3152897529. The cubic root of 111921912 is about 481.9164010818.

The spelling of 111921912 in words is "one hundred eleven million, nine hundred twenty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6397 8748 12794 17496 19191 25588 38382 51176 57573 76764 115146 153528 172719 230292 345438 460584 518157 690876 1036314 1381752 1554471 2072628 3108942 4145256 4663413 6217884 9326826 12435768 13990239 18653652 27980478 37307304 55960956 111921912