Search a number
-
+
111000013020 = 223251347435903
BaseRepresentation
bin110011101100000011…
…1011100100011011100
3101121111210002220100100
41213120013130203130
53304312000404040
6122554231301100
711006453354211
oct1473007344334
9347453086310
10111000013020
1143090682756
121961981a790
13a60c73cca0
14552dd35b08
152d49cccb30
hex19d81dc8dc

111000013020 has 72 divisors (see below), whose sum is σ = 362600050176. Its totient is φ = 27323079552.

The previous prime is 111000013013. The next prime is 111000013051. The reversal of 111000013020 is 20310000111.

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 = 111000012993 and 111000013011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23715612 + ... + 23720291.

It is an arithmetic number, because the mean of its divisors is an integer number (5036111808).

Almost surely, 2111000013020 is an apocalyptic number.

111000013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111000013020 is an abundant number, since it is smaller than the sum of its proper divisors (251600037156).

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

111000013020 is a wasteful number, since it uses less digits than its factorization.

111000013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47435931 (or 47435926 counting only the distinct ones).

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

Adding to 111000013020 its reverse (20310000111), we get a palindrome (131310013131).

The spelling of 111000013020 in words is "one hundred eleven billion, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 47435903 94871806 142307709 189743612 237179515 284615418 426923127 474359030 569230836 616666739 711538545 853846254 948718060 1233333478 1423077090 1707692508 1850000217 2134615635 2466666956 2846154180 3083333695 3700000434 4269231270 5550000651 6166667390 7400000868 8538462540 9250001085 11100001302 12333334780 18500002170 22200002604 27750003255 37000004340 55500006510 111000013020