Search a number
-
+
111001230 = 232519139467
BaseRepresentation
bin1101001110110…
…11111010001110
321201212110001200
412213123322032
5211404014410
615003050330
72515331514
oct647337216
9251773050
10111001230
115772595a
12312109a6
1319cc6002
1410a564b4
159b293c0
hex69dbe8e

111001230 has 96 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 27781056.

The previous prime is 111001229. The next prime is 111001237. The reversal of 111001230 is 32100111.

It is a Harshad number since it is a multiple of its sum of digits (9).

111001230 is a modest number, since divided by 1230 gives 1110 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001237) 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 47 ways as a sum of consecutive naturals, for example, 237457 + ... + 237923.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2111001230 is an apocalyptic number.

111001230 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 111001230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

111001230 is an abundant number, since it is smaller than the sum of its proper divisors (195632370).

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

111001230 is a wasteful number, since it uses less digits than its factorization.

111001230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 111001230 is about 10535.7121259078. The cubic root of 111001230 is about 480.5913285146.

Adding to 111001230 its reverse (32100111), we get a palindrome (143101341).

The spelling of 111001230 in words is "one hundred eleven million, one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 139 171 190 278 285 342 417 467 570 695 834 855 934 1251 1390 1401 1710 2085 2335 2502 2641 2802 4170 4203 4670 5282 6255 7005 7923 8406 8873 12510 13205 14010 15846 17746 21015 23769 26410 26619 39615 42030 44365 47538 53238 64913 79230 79857 88730 118845 129826 133095 159714 194739 237690 266190 324565 389478 399285 584217 649130 798570 973695 1168434 1233347 1947390 2466694 2921085 3700041 5842170 6166735 7400082 11100123 12333470 18500205 22200246 37000410 55500615 111001230