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114433101 = 33291011447
BaseRepresentation
bin1101101001000…
…01110001001101
321222022210201000
412310201301031
5213243324401
615204410513
72556444126
oct664416115
9258283630
10114433101
115965a312
12323a6a39
131a9280c3
14112ab04d
15a0a6186
hex6d21c4d

114433101 has 32 divisors (see below), whose sum is σ = 177235200. Its totient is φ = 72878400.

The previous prime is 114433097. The next prime is 114433117. The reversal of 114433101 is 101334411.

It is not a de Polignac number, because 114433101 - 22 = 114433097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114433301) 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 31 ways as a sum of consecutive naturals, for example, 78360 + ... + 79806.

It is an arithmetic number, because the mean of its divisors is an integer number (5538600).

Almost surely, 2114433101 is an apocalyptic number.

It is an amenable number.

114433101 is a deficient number, since it is larger than the sum of its proper divisors (62802099).

114433101 is a wasteful number, since it uses less digits than its factorization.

114433101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114433101 is about 10697.3408377970. The cubic root of 114433101 is about 485.4940245464.

Adding to 114433101 its reverse (101334411), we get a palindrome (215767512).

The spelling of 114433101 in words is "one hundred fourteen million, four hundred thirty-three thousand, one hundred one".

Divisors: 1 3 9 27 29 87 101 261 303 783 909 1447 2727 2929 4341 8787 13023 26361 39069 41963 79083 125889 146147 377667 438441 1133001 1315323 3945969 4238263 12714789 38144367 114433101