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111108222241 = 257212972
BaseRepresentation
bin110011101111010010…
…0001110110100100001
3101121210022201111111021
41213132210032310201
53310022201102431
6123013054445441
711012236210042
oct1473644166441
9347708644437
10111108222241
1143136770965
1219649b03881
13a628c99203
1455404628c9
152d54554b11
hex19de90ed21

111108222241 has 9 divisors (see below), whose sum is σ = 111628298649. Its totient is φ = 110590562304.

The previous prime is 111108222217. The next prime is 111108222257. The reversal of 111108222241 is 142222801111.

The square root of 111108222241 is 333329.

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

It can be written as a sum of positive squares in 4 ways, for example, as 107532182241 + 3576040000 = 327921^2 + 59800^2 .

It is not a de Polignac number, because 111108222241 - 29 = 111108221729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111108222271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85664905 + ... + 85666201.

Almost surely, 2111108222241 is an apocalyptic number.

111108222241 is the 333329-th square number.

111108222241 is the 166665-th centered octagonal number.

It is an amenable number.

111108222241 is a deficient number, since it is larger than the sum of its proper divisors (520076408).

111108222241 is an frugal number, since it uses more digits than its factorization.

111108222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

Multiplying 111108222241 by its sum of digits (25), we get a square (2777705556025 = 16666452).

The spelling of 111108222241 in words is "one hundred eleven billion, one hundred eight million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 257 1297 66049 333329 1682209 85665553 432327713 111108222241