Search a number
-
+
111311323013304 = 233279102531908661
BaseRepresentation
bin11001010011110010101111…
…110111100010000010111000
3112121010020222111010220112100
4121103302233313202002320
5104042211042142411204
61032423414342543400
732305656231312651
oct3123625767420270
9477106874126470
10111311323013304
1132515959a62917
1210598a68a37b60
134a157c71bab6b
141d6b6d5240528
15cd06e272ea39
hex653cafde20b8

111311323013304 has 96 divisors (see below), whose sum is σ = 305314154308800. Its totient is φ = 36630514103040.

The previous prime is 111311323013291. The next prime is 111311323013357. The reversal of 111311323013304 is 403310323113111.

111311323013304 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 1 + 323 + 0 + 1 + 330 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57364734 + ... + 59273394.

It is an arithmetic number, because the mean of its divisors is an integer number (3180355774050).

Almost surely, 2111311323013304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111311323013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152657077154400).

111311323013304 is an abundant number, since it is smaller than the sum of its proper divisors (194002831295496).

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

111311323013304 is a wasteful number, since it uses less digits than its factorization.

111311323013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919005 (or 1918998 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 111311323013304 its reverse (403310323113111), we get a palindrome (514621646126415).

The spelling of 111311323013304 in words is "one hundred eleven trillion, three hundred eleven billion, three hundred twenty-three million, thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 10253 20506 30759 41012 61518 82024 92277 123036 184554 246072 369108 738216 809987 1619974 1908661 2429961 3239948 3817322 4859922 5725983 6479896 7289883 7634644 9719844 11451966 14579766 15269288 17177949 19439688 22903932 29159532 34355898 45807864 58319064 68711796 137423592 150784219 301568438 452352657 603136876 904705314 1206273752 1357057971 1809410628 2714115942 3618821256 5428231884 10856463768 19569501233 39139002466 58708503699 78278004932 117417007398 156556009864 176125511097 234834014796 352251022194 469668029592 704502044388 1409004088776 1545990597407 3091981194814 4637971792221 6183962389628 9275943584442 12367924779256 13913915376663 18551887168884 27827830753326 37103774337768 55655661506652 111311323013304