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114110112 = 25367113157
BaseRepresentation
bin1101100110100…
…10111010100000
321221201101122110
412303102322200
5213203010422
615153435320
72553630354
oct663227240
9257641573
10114110112
1159459686
123226bb40
131a84409c
1411225464
15a04060c
hex6cd2ea0

114110112 has 96 divisors (see below), whose sum is σ = 308653632. Its totient is φ = 36900864.

The previous prime is 114110111. The next prime is 114110131. The reversal of 114110112 is 211011411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1141101122 = 26042235321305088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (114110111) 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 15 ways as a sum of consecutive naturals, for example, 726738 + ... + 726894.

It is an arithmetic number, because the mean of its divisors is an integer number (3215142).

Almost surely, 2114110112 is an apocalyptic number.

114110112 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 114110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154326816).

114110112 is an abundant number, since it is smaller than the sum of its proper divisors (194543520).

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

114110112 is a wasteful number, since it uses less digits than its factorization.

114110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 114110112 is about 10682.2334743255. The cubic root of 114110112 is about 485.0368229384.

Adding to 114110112 its reverse (211011411), we get a palindrome (325121523).

The spelling of 114110112 in words is "one hundred fourteen million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 113 134 157 201 226 268 314 339 402 452 471 536 628 678 804 904 942 1072 1256 1356 1608 1808 1884 2144 2512 2712 3216 3616 3768 5024 5424 6432 7536 7571 10519 10848 15072 15142 17741 21038 22713 30284 31557 35482 42076 45426 53223 60568 63114 70964 84152 90852 106446 121136 126228 141928 168304 181704 212892 242272 252456 283856 336608 363408 425784 504912 567712 726816 851568 1009824 1188647 1703136 2377294 3565941 4754588 7131882 9509176 14263764 19018352 28527528 38036704 57055056 114110112