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114131125 = 533724677
BaseRepresentation
bin1101100110110…
…00000010110101
321221202110110201
412303120002311
5213204144000
615154120501
72554045543
oct663300265
9257673421
10114131125
1159473449
1232280131
131a850814
141122cd93
15a04696a
hex6cd80b5

114131125 has 16 divisors (see below), whose sum is σ = 146291184. Its totient is φ = 88833600.

The previous prime is 114131123. The next prime is 114131137. The reversal of 114131125 is 521131411.

It can be written as a sum of positive squares in 8 ways, for example, as 3818116 + 110313009 = 1954^2 + 10503^2 .

It is not a de Polignac number, because 114131125 - 21 = 114131123 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 (114131123) 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, 7714 + ... + 16963.

It is an arithmetic number, because the mean of its divisors is an integer number (9143199).

Almost surely, 2114131125 is an apocalyptic number.

It is an amenable number.

114131125 is a deficient number, since it is larger than the sum of its proper divisors (32160059).

114131125 is an equidigital number, since it uses as much as digits as its factorization.

114131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24729 (or 24719 counting only the distinct ones).

The product of its digits is 120, while the sum is 19.

The square root of 114131125 is about 10683.2169780455. The cubic root of 114131125 is about 485.0665937537.

Adding to 114131125 its reverse (521131411), we get a palindrome (635262536).

The spelling of 114131125 in words is "one hundred fourteen million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 37 125 185 925 4625 24677 123385 616925 913049 3084625 4565245 22826225 114131125