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111216625 = 531389769
BaseRepresentation
bin1101010000100…
…00011111110001
321202021101112021
412220100133301
5211432413000
615011431441
72520216502
oct650203761
9252241467
10111216625
1157862773
12312b5581
131a070070
1410ab0ba9
159b6d11a
hex6a107f1

111216625 has 32 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 81100800.

The previous prime is 111216613. The next prime is 111216629. The reversal of 111216625 is 526612111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 108513889 + 2702736 = 10417^2 + 1644^2 .

It is not a de Polignac number, because 111216625 - 29 = 111216113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 111216625.

It is not an unprimeable number, because it can be changed into a prime (111216629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144241 + ... + 145009.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2111216625 is an apocalyptic number.

It is an amenable number.

111216625 is a deficient number, since it is larger than the sum of its proper divisors (40134575).

111216625 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (111216624) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (876).

111216625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 111216625 is about 10545.9293094540. The cubic root of 111216625 is about 480.9019859850.

Adding to 111216625 its reverse (526612111), we get a palindrome (637828736).

The spelling of 111216625 in words is "one hundred eleven million, two hundred sixteen thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 89 125 325 445 769 1157 1625 2225 3845 5785 9997 11125 19225 28925 49985 68441 96125 144625 249925 342205 889733 1249625 1711025 4448665 8555125 22243325 111216625