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114132110 = 2529241331
BaseRepresentation
bin1101100110110…
…00010010001110
321221202111211012
412303120102032
5213204211420
615154125222
72554051451
oct663302216
9257674735
10114132110
1159474164
1232280812
131a8510c1
141122d498
15a046dc5
hex6cd848e

114132110 has 48 divisors (see below), whose sum is σ = 218614032. Its totient is φ = 42873600.

The previous prime is 114132103. The next prime is 114132113. The reversal of 114132110 is 11231411.

It is a super-2 number, since 2×1141321102 = 26052277066104200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114132113) 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 23 ways as a sum of consecutive naturals, for example, 344645 + ... + 344975.

It is an arithmetic number, because the mean of its divisors is an integer number (4554459).

Almost surely, 2114132110 is an apocalyptic number.

114132110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114132110 is a deficient number, since it is larger than the sum of its proper divisors (104481922).

114132110 is a wasteful number, since it uses less digits than its factorization.

114132110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 114132110 is about 10683.2630782921. The cubic root of 114132110 is about 485.0679891932.

Adding to 114132110 its reverse (11231411), we get a palindrome (125363521).

The spelling of 114132110 in words is "one hundred fourteen million, one hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 5 10 29 41 58 82 145 205 290 331 410 662 841 1189 1655 1682 2378 3310 4205 5945 8410 9599 11890 13571 19198 27142 34481 47995 67855 68962 95990 135710 172405 278371 344810 393559 556742 787118 1391855 1967795 2783710 3935590 11413211 22826422 57066055 114132110