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111431412 = 223223592281
BaseRepresentation
bin1101010010001…
…00111011110100
321202200022011100
412221010323310
5212011301122
615020210100
72522102631
oct651047364
9252608140
10111431412
115799a084
1231399930
131a116a61
1410b29188
159bb1aac
hex6a44ef4

111431412 has 72 divisors (see below), whose sum is σ = 299033280. Its totient is φ = 34911360.

The previous prime is 111431377. The next prime is 111431417. The reversal of 111431412 is 214134111.

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 not an unprimeable number, because it can be changed into a prime (111431417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47712 + ... + 49992.

It is an arithmetic number, because the mean of its divisors is an integer number (4153240).

Almost surely, 2111431412 is an apocalyptic number.

111431412 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 111431412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149516640).

111431412 is an abundant number, since it is smaller than the sum of its proper divisors (187601868).

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

111431412 is a wasteful number, since it uses less digits than its factorization.

111431412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2368 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 111431412 is about 10556.1078054366. The cubic root of 111431412 is about 481.2113674054.

Adding to 111431412 its reverse (214134111), we get a palindrome (325565523).

The spelling of 111431412 in words is "one hundred eleven million, four hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 118 138 177 207 236 276 354 414 531 708 828 1062 1357 2124 2281 2714 4071 4562 5428 6843 8142 9124 12213 13686 16284 20529 24426 27372 41058 48852 52463 82116 104926 134579 157389 209852 269158 314778 403737 472167 538316 629556 807474 944334 1211211 1614948 1888668 2422422 3095317 4844844 6190634 9285951 12381268 18571902 27857853 37143804 55715706 111431412