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111311042024 = 237131941196277
BaseRepresentation
bin110011110101010100…
…1111011010111101000
3101122022110100210221002
41213222221323113220
53310431111321044
6123045141534132
711020251150260
oct1475251732750
9348273323832
10111311042024
11432301aa416
12196a5a14348
13a65bcccb10
14555d37a7a0
152d6726974e
hex19eaa7b5e8

111311042024 has 128 divisors (see below), whose sum is σ = 276987513600. Its totient is φ = 40699791360.

The previous prime is 111311042023. The next prime is 111311042039. The reversal of 111311042024 is 420240113111.

111311042024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 111311041987 and 111311042005.

It is not an unprimeable number, because it can be changed into a prime (111311042023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468974 + ... + 665250.

It is an arithmetic number, because the mean of its divisors is an integer number (2163964950).

Almost surely, 2111311042024 is an apocalyptic number.

111311042024 is a gapful number since it is divisible by the number (14) 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 111311042024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138493756800).

111311042024 is an abundant number, since it is smaller than the sum of its proper divisors (165676471576).

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

111311042024 is a wasteful number, since it uses less digits than its factorization.

111311042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196363 (or 196359 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 111311042024 its reverse (420240113111), we get a palindrome (531551155135).

The spelling of 111311042024 in words is "one hundred eleven billion, three hundred eleven million, forty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 41 52 56 76 82 91 104 133 152 164 182 247 266 287 328 364 494 532 533 574 728 779 988 1064 1066 1148 1558 1729 1976 2132 2296 3116 3458 3731 4264 5453 6232 6916 7462 10127 10906 13832 14924 20254 21812 29848 40508 43624 70889 81016 141778 196277 283556 392554 567112 785108 1373939 1570216 2551601 2747878 3729263 5103202 5495756 7458526 8047357 10206404 10991512 14917052 16094714 17861207 20412808 26104841 29834104 32189428 35722414 48480419 52209682 56331499 64378856 71444828 96960838 104419364 104615641 112662998 142889656 152899783 193921676 208838728 209231282 225325996 305799566 339362933 387843352 418462564 450651992 611599132 678725866 732309487 836925128 1070298481 1223198264 1357451732 1464618974 1987697179 2140596962 2714903464 2929237948 3975394358 4281193924 5858475896 7950788716 8562387848 13913880253 15901577432 27827760506 55655521012 111311042024