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114232100 = 22521142321
BaseRepresentation
bin1101100111100…
…00101100100100
321221221120222112
412303300230210
5213220411400
615200220152
72554646123
oct663605444
9257846875
10114232100
11595322a4
123230a658
131a887778
1411257aba
15a066835
hex6cf0b24

114232100 has 18 divisors (see below), whose sum is σ = 247883874. Its totient is φ = 45692800.

The previous prime is 114232087. The next prime is 114232103. The reversal of 114232100 is 1232411.

It can be written as a sum of positive squares in 3 ways, for example, as 1532644 + 112699456 = 1238^2 + 10616^2 .

It is not an unprimeable number, because it can be changed into a prime (114232103) 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 5 ways as a sum of consecutive naturals, for example, 571061 + ... + 571260.

Almost surely, 2114232100 is an apocalyptic number.

114232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114232100 is an abundant number, since it is smaller than the sum of its proper divisors (133651774).

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

114232100 is a wasteful number, since it uses less digits than its factorization.

114232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142335 (or 1142328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 114232100 is about 10687.9418037338. The cubic root of 114232100 is about 485.2096022505.

Adding to 114232100 its reverse (1232411), we get a palindrome (115464511).

The spelling of 114232100 in words is "one hundred fourteen million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1142321 2284642 4569284 5711605 11423210 22846420 28558025 57116050 114232100