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114355241 = 71113234967
BaseRepresentation
bin1101101000011…
…10110000101001
321222011211220022
412310032300221
5213233331431
615203010225
72556001130
oct664166051
9258154808
10114355241
1159606870
1232369975
131a8cb830
141128a917
15a08d07b
hex6d0ec29

114355241 has 32 divisors (see below), whose sum is σ = 160247808. Its totient is φ = 78661440.

The previous prime is 114355217. The next prime is 114355253. The reversal of 114355241 is 142553411.

It is not a de Polignac number, because 114355241 - 26 = 114355177 is a prime.

It is a super-2 number, since 2×1143552412 = 26154242288336162, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114355241.

It is not an unprimeable number, because it can be changed into a prime (114355211) 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, 20540 + ... + 25506.

It is an arithmetic number, because the mean of its divisors is an integer number (5007744).

Almost surely, 2114355241 is an apocalyptic number.

114355241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114355241 is a deficient number, since it is larger than the sum of its proper divisors (45892567).

114355241 is a wasteful number, since it uses less digits than its factorization.

114355241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021.

The product of its digits is 2400, while the sum is 26.

The square root of 114355241 is about 10693.7009963810. The cubic root of 114355241 is about 485.3838899181.

The spelling of 114355241 in words is "one hundred fourteen million, three hundred fifty-five thousand, two hundred forty-one".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 3289 4967 23023 34769 54637 64571 114241 382459 451997 710281 799687 1256651 1485133 4971967 8796557 10395931 16336463 114355241