Search a number
-
+
111000111012 = 22327314960331
BaseRepresentation
bin110011101100000011…
…1110100011110100100
3101121111210021212202200
41213120013310132210
53304312012023022
6122554233334500
711006454243000
oct1473007643644
9347453255680
10111000111012
114309073a33a
1219619867430
13a60c77577b
14552dd5d700
152d49cebbac
hex19d81f47a4

111000111012 has 144 divisors (see below), whose sum is σ = 329412720000. Its totient is φ = 31500947520.

The previous prime is 111000111007. The next prime is 111000111143. The reversal of 111000111012 is 210111000111.

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

It is a junction number, because it is equal to n+sod(n) for n = 111000110985 and 111000111003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1809687 + ... + 1870017.

Almost surely, 2111000111012 is an apocalyptic number.

111000111012 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 111000111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164706360000).

111000111012 is an abundant number, since it is smaller than the sum of its proper divisors (218412608988).

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

111000111012 is a wasteful number, since it uses less digits than its factorization.

111000111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60511 (or 60492 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111000111012 its reverse (210111000111), we get a palindrome (321111111123).

The spelling of 111000111012 in words is "one hundred eleven billion, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 149 196 252 294 298 343 441 447 588 596 686 882 894 1029 1043 1341 1372 1764 1788 2058 2086 2682 3087 3129 4116 4172 5364 6174 6258 7301 9387 12348 12516 14602 18774 21903 29204 37548 43806 51107 60331 65709 87612 102214 120662 131418 153321 180993 204428 241324 262836 306642 361986 422317 459963 542979 613284 723972 844634 919926 1085958 1266951 1689268 1839852 2171916 2533902 2956219 3800853 5067804 5912438 7601706 8868657 8989319 11824876 15203412 17737314 17978638 20693533 26605971 26967957 35474628 35957276 41387066 53211942 53935914 62080599 62925233 80903871 82774132 106423884 107871828 124161198 125850466 161807742 186241797 188775699 248322396 251700932 323615484 372483594 377551398 440476631 566327097 744967188 755102796 880953262 1132654194 1321429893 1761906524 2265308388 2642859786 3083336417 3964289679 5285719572 6166672834 7928579358 9250009251 12333345668 15857158716 18500018502 27750027753 37000037004 55500055506 111000111012