Search a number
-
+
111000312320 = 295227251761
BaseRepresentation
bin110011101100000100…
…0100101101000000000
3101121111210200002220112
41213120020211220000
53304312034443240
6122554241530452
711006456041622
oct1473010455000
9347453602815
10111000312320
1143090867607
1219619943a28
13a60c8162a1
14552ddb2c12
152d49d3b665
hex19d8225a00

111000312320 has 160 divisors (see below), whose sum is σ = 268730675136. Its totient is φ = 43970560000.

The previous prime is 111000312307. The next prime is 111000312361. The reversal of 111000312320 is 23213000111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 111000312295 and 111000312304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145860740 + ... + 145861500.

Almost surely, 2111000312320 is an apocalyptic number.

111000312320 is a gapful number since it is divisible by the number (10) 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 111000312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134365337568).

111000312320 is an abundant number, since it is smaller than the sum of its proper divisors (157730362816).

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

111000312320 is an equidigital number, since it uses as much as digits as its factorization.

111000312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 111000312320 its reverse (23213000111), we get a palindrome (134213312431).

The spelling of 111000312320 in words is "one hundred eleven billion, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 251 256 320 454 502 512 640 761 908 1004 1135 1255 1280 1522 1816 2008 2270 2510 2560 3044 3632 3805 4016 4540 5020 6088 7264 7610 8032 9080 10040 12176 14528 15220 16064 18160 20080 24352 29056 30440 32128 36320 40160 48704 56977 58112 60880 64256 72640 80320 97408 113954 116224 121760 128512 145280 160640 172747 191011 194816 227908 243520 284885 290560 321280 345494 382022 389632 455816 487040 569770 581120 642560 690988 764044 863735 911632 955055 974080 1139540 1381976 1528088 1727470 1823264 1910110 1948160 2279080 2763952 3056176 3454940 3646528 3820220 4558160 5527904 6112352 6909880 7293056 7640440 9116320 11055808 12224704 13819760 14586112 15280880 18232640 22111616 24449408 27639520 29172224 30561760 36465280 43359497 44223232 48898816 55279040 61123520 72930560 86718994 88446464 97797632 110558080 122247040 145861120 173437988 216797485 221116160 244494080 346875976 433594970 442232320 488988160 693751952 867189940 1387503904 1734379880 2775007808 3468759760 5550015616 6937519520 11100031232 13875039040 22200062464 27750078080 55500156160 111000312320