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114240105 = 3357120889
BaseRepresentation
bin1101100111100…
…10101001101001
321221221222222000
412303302221221
5213221140410
615200321213
72555011350
oct663625151
9257858860
10114240105
1159538311
1232313209
131a88b2c5
141125a997
15a068dc0
hex6cf2a69

114240105 has 32 divisors (see below), whose sum is σ = 232108800. Its totient is φ = 52223616.

The previous prime is 114240097. The next prime is 114240163. The reversal of 114240105 is 501042411.

It is not a de Polignac number, because 114240105 - 23 = 114240097 is a prime.

It is a super-2 number, since 2×1142401052 = 26101603180822050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59500 + ... + 61389.

It is an arithmetic number, because the mean of its divisors is an integer number (7253400).

Almost surely, 2114240105 is an apocalyptic number.

114240105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114240105 is an abundant number, since it is smaller than the sum of its proper divisors (117868695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114240105 is a wasteful number, since it uses less digits than its factorization.

114240105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120910 (or 120904 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114240105 is about 10688.3162846166. The cubic root of 114240105 is about 485.2209359362.

Adding to 114240105 its reverse (501042411), we get a palindrome (615282516).

The spelling of 114240105 in words is "one hundred fourteen million, two hundred forty thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 120889 362667 604445 846223 1088001 1813335 2538669 3264003 4231115 5440005 7616007 12693345 16320015 22848021 38080035 114240105