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111941148 = 223111396101
BaseRepresentation
bin1101010110000…
…01011000011100
321210122012101110
412223001120130
5212124104043
615035142020
72526325014
oct653013034
9253565343
10111941148
1158208050
12315a4910
131a264a87
1410c1cc44
159c62b33
hex6ac161c

111941148 has 48 divisors (see below), whose sum is σ = 287038080. Its totient is φ = 33672000.

The previous prime is 111941143. The next prime is 111941149. The reversal of 111941148 is 841149111.

It is a super-3 number, since 3×1119411483 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111941143) 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, 15298 + ... + 21398.

It is an arithmetic number, because the mean of its divisors is an integer number (5979960).

Almost surely, 2111941148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111941148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143519040).

111941148 is an abundant number, since it is smaller than the sum of its proper divisors (175096932).

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

111941148 is a wasteful number, since it uses less digits than its factorization.

111941148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6258 (or 6256 counting only the distinct ones).

The product of its digits is 1152, while the sum is 30.

The square root of 111941148 is about 10580.2243832539. The cubic root of 111941148 is about 481.9440084636.

The spelling of 111941148 in words is "one hundred eleven million, nine hundred forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1529 1668 3058 4587 6101 6116 9174 12202 18303 18348 24404 36606 67111 73212 134222 201333 268444 402666 805332 848039 1696078 2544117 3392156 5088234 9328429 10176468 18656858 27985287 37313716 55970574 111941148