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114110102232 = 23327311728003
BaseRepresentation
bin110101001000101111…
…1011111101011011000
3101220112112021210200200
41222101133133223120
53332144141232412
6124231011302200
711146516602540
oct1522137375330
9356475253620
10114110102232
11444371a5815
121a1472aa960
13a9b6b8b369
145746dd8320
152e7cd6a9dc
hex1a917dfad8

114110102232 has 96 divisors (see below), whose sum is σ = 354334106880. Its totient is φ = 32498009280.

The previous prime is 114110102221. The next prime is 114110102237. The reversal of 114110102232 is 232201011411.

114110102232 is a `hidden beast` number, since 11 + 411 + 0 + 10 + 2 + 232 = 666.

114110102232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1141101022322 (a number of 23 digits) 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 (114110102237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207258 + ... + 520745.

It is an arithmetic number, because the mean of its divisors is an integer number (3690980280).

Almost surely, 2114110102232 is an apocalyptic number.

114110102232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114110102232 is an abundant number, since it is smaller than the sum of its proper divisors (240224004648).

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

114110102232 is a wasteful number, since it uses less digits than its factorization.

114110102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728333 (or 728326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114110102232 its reverse (232201011411), we get a palindrome (346311113643).

The spelling of 114110102232 in words is "one hundred fourteen billion, one hundred ten million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 311 504 622 933 1244 1866 2177 2488 2799 3732 4354 5598 6531 7464 8708 11196 13062 17416 19593 22392 26124 39186 52248 78372 156744 728003 1456006 2184009 2912012 4368018 5096021 5824024 6552027 8736036 10192042 13104054 15288063 17472072 20384084 26208108 30576126 40768168 45864189 52416216 61152252 91728378 122304504 183456756 226408933 366913512 452817866 679226799 905635732 1358453598 1584862531 1811271464 2037680397 2716907196 3169725062 4075360794 4754587593 5433814392 6339450124 8150721588 9509175186 12678900248 14263762779 16301443176 19018350372 28527525558 38036700744 57055051116 114110102232