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111093556249 = 132256392
BaseRepresentation
bin110011101110110110…
…0010010010000011001
3101121202022010101112101
41213131230102100121
53310004422244444
6123011412243401
711012000435044
oct1473554222031
9347668111471
10111093556249
1143129464105
1219645010561
13a625c32900
14553c525c5b
152d531093d4
hex19ddb12419

111093556249 has 9 divisors (see below), whose sum is σ = 120301264863. Its totient is φ = 102543898392.

The previous prime is 111093556247. The next prime is 111093556267. The reversal of 111093556249 is 942655390111.

It is a happy number.

The square root of 111093556249 is 333307.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16433958025 + 94659598224 = 128195^2 + 307668^2 .

It is not a de Polignac number, because 111093556249 - 21 = 111093556247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111093556199 and 111093556208.

It is not an unprimeable number, because it can be changed into a prime (111093556247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4320172 + ... + 4345810.

It is an arithmetic number, because the mean of its divisors is an integer number (13366807207).

Almost surely, 2111093556249 is an apocalyptic number.

111093556249 is the 333307-th square number.

111093556249 is the 166654-th centered octagonal number.

It is an amenable number.

111093556249 is a deficient number, since it is larger than the sum of its proper divisors (9207708614).

111093556249 is an frugal number, since it uses more digits than its factorization.

111093556249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51304 (or 25652 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 111093556249 in words is "one hundred eleven billion, ninety-three million, five hundred fifty-six thousand, two hundred forty-nine".

Divisors: 1 13 169 25639 333307 4332991 657358321 8545658173 111093556249