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114362281 = 11172832161
BaseRepresentation
bin1101101000100…
…00011110101001
321222012012120001
412310100132221
5213234043111
615203103001
72556030505
oct664203651
9258165501
10114362281
1159611090
1232371a61
131a901ab7
141128d305
15a0901c1
hex6d107a9

114362281 has 16 divisors (see below), whose sum is σ = 132625728. Its totient is φ = 97459200.

The previous prime is 114362231. The next prime is 114362291. The reversal of 114362281 is 182263411.

It is a 4-Lehmer number, since φ(114362281) divides (114362281-1)4.

It is a cyclic number.

It is not a de Polignac number, because 114362281 - 29 = 114361769 is a prime.

It is a super-2 number, since 2×1143622812 = 26157462631045922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114362221) 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 15 ways as a sum of consecutive naturals, for example, 51841 + ... + 54001.

It is an arithmetic number, because the mean of its divisors is an integer number (8289108).

It is a Poulet number, since it divides 2114362280-1.

Almost surely, 2114362281 is an apocalyptic number.

114362281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114362281 is a deficient number, since it is larger than the sum of its proper divisors (18263447).

114362281 is a wasteful number, since it uses less digits than its factorization.

114362281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472.

The product of its digits is 2304, while the sum is 28.

The square root of 114362281 is about 10694.0301570549. The cubic root of 114362281 is about 485.3938502033.

The spelling of 114362281 in words is "one hundred fourteen million, three hundred sixty-two thousand, two hundred eighty-one".

Divisors: 1 11 17 187 283 2161 3113 4811 23771 36737 52921 404107 611563 6727193 10396571 114362281