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111012112181 is a prime number
BaseRepresentation
bin110011101100011010…
…1100110011100110101
3101121112121212121021102
41213120311212130311
53304323100042211
6122555342455445
711006661245555
oct1473065463465
9347477777242
10111012112181
1143097496a63
1219621894585
13a6120b8159
1455317a5165
152d4adbca3b
hex19d8d66735

111012112181 has 2 divisors, whose sum is σ = 111012112182. Its totient is φ = 111012112180.

The previous prime is 111012112147. The next prime is 111012112219. The reversal of 111012112181 is 181211210111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100784026225 + 10228085956 = 317465^2 + 101134^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012112181 - 226 = 110945003317 is a prime.

It is a super-2 number, since 2×1110121121812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111012112121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506056090 + 55506056091.

It is an arithmetic number, because the mean of its divisors is an integer number (55506056091).

Almost surely, 2111012112181 is an apocalyptic number.

It is an amenable number.

111012112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012112181 is an equidigital number, since it uses as much as digits as its factorization.

111012112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 111012112181 its reverse (181211210111), we get a palindrome (292223322292).

The spelling of 111012112181 in words is "one hundred eleven billion, twelve million, one hundred twelve thousand, one hundred eighty-one".