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114252105 = 35114091693
BaseRepresentation
bin1101100111101…
…01100101001001
321221222121102110
412303311211021
5213222031410
615200452533
72555061342
oct663654511
9257877373
10114252105
1159546330
123231a149
131a8938c6
14112610c9
15a06c720
hex6cf5949

114252105 has 32 divisors (see below), whose sum is σ = 200027520. Its totient is φ = 55226880.

The previous prime is 114252067. The next prime is 114252107. The reversal of 114252105 is 501252411.

It is not a de Polignac number, because 114252105 - 212 = 114248009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114252107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66639 + ... + 68331.

It is an arithmetic number, because the mean of its divisors is an integer number (6250860).

Almost surely, 2114252105 is an apocalyptic number.

114252105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114252105 is a deficient number, since it is larger than the sum of its proper divisors (85775415).

114252105 is a wasteful number, since it uses less digits than its factorization.

114252105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 114252105 is about 10688.8776305092. The cubic root of 114252105 is about 485.2379248543.

It can be divided in two parts, 11425 and 2105, that added together give a triangular number (13530 = T164).

The spelling of 114252105 in words is "one hundred fourteen million, two hundred fifty-two thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 165 409 1227 1693 2045 4499 5079 6135 8465 13497 18623 22495 25395 55869 67485 93115 279345 692437 2077311 3462185 7616807 10386555 22850421 38084035 114252105