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114218011149 = 31119182165887
BaseRepresentation
bin110101001011111101…
…1001000101000001101
3101220211001100010220020
41222113323020220031
53332404302324044
6124245424212353
711152300035024
oct1522773105015
9356731303806
10114218011149
11444920a9340
121a17746a0b9
13aa033409a8
1457574878bb
152e87583a19
hex1a97ec8a0d

114218011149 has 16 divisors (see below), whose sum is σ = 174879252480. Its totient is φ = 65579718960.

The previous prime is 114218011139. The next prime is 114218011157. The reversal of 114218011149 is 941110812411.

It is not a de Polignac number, because 114218011149 - 24 = 114218011133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114218011139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91082317 + ... + 91083570.

It is an arithmetic number, because the mean of its divisors is an integer number (10929953280).

Almost surely, 2114218011149 is an apocalyptic number.

114218011149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

114218011149 is a deficient number, since it is larger than the sum of its proper divisors (60661241331).

114218011149 is a wasteful number, since it uses less digits than its factorization.

114218011149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182165920.

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 114218011149 in words is "one hundred fourteen billion, two hundred eighteen million, eleven thousand, one hundred forty-nine".

Divisors: 1 3 11 19 33 57 209 627 182165887 546497661 2003824757 3461151853 6011474271 10383455559 38072670383 114218011149