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114241110 = 23519435979
BaseRepresentation
bin1101100111100…
…10111001010110
321221222001100020
412303302321112
5213221203420
615200330010
72555014314
oct663627126
9257861306
10114241110
1159539045
1232313906
131a88b8b9
141125b0b4
15a069340
hex6cf2e56

114241110 has 128 divisors (see below), whose sum is σ = 304128000. Its totient is φ = 27361152.

The previous prime is 114241103. The next prime is 114241133. The reversal of 114241110 is 11142411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114241110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446051 + ... + 1446129.

It is an arithmetic number, because the mean of its divisors is an integer number (2376000).

Almost surely, 2114241110 is an apocalyptic number.

114241110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114241110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064000).

114241110 is an abundant number, since it is smaller than the sum of its proper divisors (189886890).

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

114241110 is a wasteful number, since it uses less digits than its factorization.

114241110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 114241110 is about 10688.3632984662. The cubic root of 114241110 is about 485.2223588037. Note that the first 3 decimals are identical.

Adding to 114241110 its reverse (11142411), we get a palindrome (125383521).

The spelling of 114241110 in words is "one hundred fourteen million, two hundred forty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 59 79 86 95 114 118 129 158 177 190 215 237 258 285 295 354 395 430 474 570 590 645 790 817 885 1121 1185 1290 1501 1634 1770 2242 2370 2451 2537 3002 3363 3397 4085 4503 4661 4902 5074 5605 6726 6794 7505 7611 8170 9006 9322 10191 11210 12255 12685 13983 15010 15222 16815 16985 20382 22515 23305 24510 25370 27966 33630 33970 38055 45030 46610 48203 50955 64543 69915 76110 88559 96406 101910 129086 139830 144609 177118 193629 200423 241015 265677 289218 322715 387258 400846 442795 482030 531354 601269 645430 723045 885590 968145 1002115 1202538 1328385 1446090 1936290 2004230 2656770 3006345 3808037 6012690 7616074 11424111 19040185 22848222 38080370 57120555 114241110