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116122061 = 11293131163
BaseRepresentation
bin1101110101111…
…10000111001101
322002111121112002
412322332013031
5214211401221
615304522045
72610010166
oct672760715
9262447462
10116122061
115a603250
1232a80325
131b099aa3
14115ca76d
15a2db80b
hex6ebe1cd

116122061 has 16 divisors (see below), whose sum is σ = 131578560. Its totient is φ = 101512320.

The previous prime is 116122037. The next prime is 116122073. The reversal of 116122061 is 160221611.

It is a cyclic number.

It is not a de Polignac number, because 116122061 - 26 = 116121997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99266 + ... + 100428.

It is an arithmetic number, because the mean of its divisors is an integer number (8223660).

Almost surely, 2116122061 is an apocalyptic number.

116122061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

116122061 is a deficient number, since it is larger than the sum of its proper divisors (15456499).

116122061 is a wasteful number, since it uses less digits than its factorization.

116122061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 116122061 is about 10775.9946640670. The cubic root of 116122061 is about 487.8708968814.

Adding to 116122061 its reverse (160221611), we get a palindrome (276343672).

The spelling of 116122061 in words is "one hundred sixteen million, one hundred twenty-two thousand, sixty-one".

Divisors: 1 11 29 313 319 1163 3443 9077 12793 33727 99847 364019 370997 4004209 10556551 116122061