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114832801 is a prime number
BaseRepresentation
bin1101101100000…
…11010110100001
322000002002222201
412312003112201
5213344122201
615221133201
72563030336
oct666032641
9260062881
10114832801
1159902646
123255a201
131aa38005
141137298d
15a134801
hex6d835a1

114832801 has 2 divisors, whose sum is σ = 114832802. Its totient is φ = 114832800.

The previous prime is 114832799. The next prime is 114832849. The reversal of 114832801 is 108238411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 14432401 = 10020^2 + 3799^2 .

It is a cyclic number.

It is not a de Polignac number, because 114832801 - 21 = 114832799 is a prime.

Together with 114832799, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114832801.

It is not a weakly prime, because it can be changed into another prime (114832871) 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 as a sum of consecutive naturals, namely, 57416400 + 57416401.

It is an arithmetic number, because the mean of its divisors is an integer number (57416401).

Almost surely, 2114832801 is an apocalyptic number.

It is an amenable number.

114832801 is a deficient number, since it is larger than the sum of its proper divisors (1).

114832801 is an equidigital number, since it uses as much as digits as its factorization.

114832801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 114832801 is about 10716.0067655820. The cubic root of 114832801 is about 486.0586236135.

The spelling of 114832801 in words is "one hundred fourteen million, eight hundred thirty-two thousand, eight hundred one".