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114031512 = 233271713309
BaseRepresentation
bin1101100101111…
…11101110011000
321221120101211100
412302333232120
5213143002022
615152031400
72553152250
oct662775630
9257511740
10114031512
1159405621
1232232560
131a81738a
1411204960
15a0271ac
hex6cbfb98

114031512 has 96 divisors (see below), whose sum is σ = 373744800. Its totient is φ = 30661632.

The previous prime is 114031499. The next prime is 114031513. The reversal of 114031512 is 215130411.

It is a super-2 number, since 2×1140315122 = 26006371458012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031513) 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 23 ways as a sum of consecutive naturals, for example, 1914 + ... + 15222.

It is an arithmetic number, because the mean of its divisors is an integer number (3893175).

Almost surely, 2114031512 is an apocalyptic number.

114031512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114031512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186872400).

114031512 is an abundant number, since it is smaller than the sum of its proper divisors (259713288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114031512 is a wasteful number, since it uses less digits than its factorization.

114031512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114031512 is about 10678.5538346726. The cubic root of 114031512 is about 484.9254315513.

Adding to 114031512 its reverse (215130411), we get a palindrome (329161923).

The spelling of 114031512 in words is "one hundred fourteen million, thirty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 13309 26618 39927 53236 79854 93163 106472 119781 159708 186326 226253 239562 279489 319416 372652 452506 479124 558978 678759 745304 838467 905012 958248 1117956 1357518 1583771 1676934 1810024 2036277 2235912 2715036 3167542 3353868 4072554 4751313 5430072 6335084 6707736 8145108 9502626 12670168 14253939 16290216 19005252 28507878 38010504 57015756 114031512