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114838801 = 731122767
BaseRepresentation
bin1101101100001…
…00110100010001
322000002102012221
412312010310101
5213344320201
615221221041
72563054000
oct666046421
9260072187
10114838801
1159907100
1232561781
131aa3a96c
1411374c37
15a1364a1
hex6d84d11

114838801 has 24 divisors (see below), whose sum is σ = 147257600. Its totient is φ = 89452440.

The previous prime is 114838741. The next prime is 114838817. The reversal of 114838801 is 108838411.

It is not a de Polignac number, because 114838801 - 211 = 114836753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114838891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40120 + ... + 42886.

Almost surely, 2114838801 is an apocalyptic number.

114838801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114838801 is a deficient number, since it is larger than the sum of its proper divisors (32418799).

114838801 is an equidigital number, since it uses as much as digits as its factorization.

114838801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 114838801 is about 10716.2867169556. The cubic root of 114838801 is about 486.0670889676.

The spelling of 114838801 in words is "one hundred fourteen million, eight hundred thirty-eight thousand, eight hundred one".

Divisors: 1 7 11 49 77 121 343 539 847 2767 3773 5929 19369 30437 41503 135583 213059 334807 949081 1491413 2343649 10439891 16405543 114838801