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114014901 = 37111337967
BaseRepresentation
bin1101100101110…
…11101010110101
321221112120001010
412302323222311
5213141434101
615151422433
72553052650
oct662735265
9257476033
10114014901
11593a40a0
1232224a19
131a80c950
14111dc897
15a0222d6
hex6cbbab5

114014901 has 32 divisors (see below), whose sum is σ = 204115968. Its totient is φ = 54671040.

The previous prime is 114014881. The next prime is 114014909. The reversal of 114014901 is 109410411.

It is not a de Polignac number, because 114014901 - 27 = 114014773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114014909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15981 + ... + 21986.

It is an arithmetic number, because the mean of its divisors is an integer number (6378624).

Almost surely, 2114014901 is an apocalyptic number.

114014901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114014901 is a deficient number, since it is larger than the sum of its proper divisors (90101067).

114014901 is a wasteful number, since it uses less digits than its factorization.

114014901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38001.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 114014901 is about 10677.7760324892. The cubic root of 114014901 is about 484.9018840033.

The spelling of 114014901 in words is "one hundred fourteen million, fourteen thousand, nine hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 37967 113901 265769 417637 493571 797307 1252911 1480713 2923459 3454997 5429281 8770377 10364991 16287843 38004967 114014901