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111114141320 = 235713171795639
BaseRepresentation
bin110011101111011101…
…0110011111010001000
3101121210201212012221102
41213132322303322020
53310030210010240
6123013425400532
711012340421610
oct1473672637210
9347721765842
10111114141320
114313a043a66
121964ba99148
13a62a28c420
145541163a40
152d54d23815
hex19deeb3e88

111114141320 has 128 divisors (see below), whose sum is σ = 325800921600. Its totient is φ = 33097199616.

The previous prime is 111114141317. The next prime is 111114141323. The reversal of 111114141320 is 23141411111.

It is an interprime number because it is at equal distance from previous prime (111114141317) and next prime (111114141323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111114141292 and 111114141301.

It is not an unprimeable number, because it can be changed into a prime (111114141323) 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, 835940 + ... + 959699.

It is an arithmetic number, because the mean of its divisors is an integer number (2545319700).

Almost surely, 2111114141320 is an apocalyptic number.

111114141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111114141320 is an abundant number, since it is smaller than the sum of its proper divisors (214686780280).

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

111114141320 is a wasteful number, since it uses less digits than its factorization.

111114141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795687 (or 1795683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 111114141320 its reverse (23141411111), we get a palindrome (134255552431).

The spelling of 111114141320 in words is "one hundred eleven billion, one hundred fourteen million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 442 455 476 520 595 680 728 884 910 952 1105 1190 1547 1768 1820 2210 2380 3094 3640 4420 4760 6188 7735 8840 12376 15470 30940 61880 1795639 3591278 7182556 8978195 12569473 14365112 17956390 23343307 25138946 30525863 35912780 46686614 50277892 61051726 62847365 71825560 93373228 100555784 116716535 122103452 125694730 152629315 163403149 186746456 213681041 233433070 244206904 251389460 305258630 326806298 396836219 427362082 466866140 502778920 610517260 653612596 793672438 817015745 854724164 933732280 1068405205 1221034520 1307225192 1587344876 1634031490 1709448328 1984181095 2136810410 2777853533 3174689752 3268062980 3968362190 4273620820 5555707066 6536125960 7936724380 8547241640 11111414132 13889267665 15873448760 22222828264 27778535330 55557070660 111114141320