Search a number
-
+
111302002320 = 24352925036389
BaseRepresentation
bin110011110101000011…
…1011100011010010000
3101122021211100112210020
41213222013130122100
53310421303033240
6123044220103440
711020111260405
oct1475207343220
9348254315706
10111302002320
1143226095793
12196a2994b80
13a65a186392
14555c0a62ac
152d665810d0
hex19ea1dc690

111302002320 has 160 divisors (see below), whose sum is σ = 357132499200. Its totient is φ = 28641134592.

The previous prime is 111302002277. The next prime is 111302002381. The reversal of 111302002320 is 23200203111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111302002320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17417686 + ... + 17424074.

It is an arithmetic number, because the mean of its divisors is an integer number (2232078120).

Almost surely, 2111302002320 is an apocalyptic number.

111302002320 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 111302002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178566249600).

111302002320 is an abundant number, since it is smaller than the sum of its proper divisors (245830496880).

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

111302002320 is a wasteful number, since it uses less digits than its factorization.

111302002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 111302002320 its reverse (23200203111), we get a palindrome (134502205431).

The spelling of 111302002320 in words is "one hundred eleven billion, three hundred two million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 2503 3480 5006 6389 6960 7509 10012 12515 12778 15018 19167 20024 25030 25556 30036 31945 37545 38334 40048 50060 51112 60072 63890 72587 75090 76668 95835 100120 102224 120144 127780 145174 150180 153336 185281 191670 200240 217761 255560 290348 300360 306672 362935 370562 383340 435522 511120 555843 580696 600720 725870 741124 766680 871044 926405 1088805 1111686 1161392 1451740 1482248 1533360 1742088 1852810 2177610 2223372 2779215 2903480 2964496 3484176 3705620 4355220 4446744 5558430 5806960 7411240 8710440 8893488 11116860 14822480 15991667 17420880 22233720 31983334 44467440 47975001 63966668 79958335 95950002 127933336 159916670 191900004 239875005 255866672 319833340 383800008 463758343 479750010 639666680 767600016 927516686 959500020 1279333360 1391275029 1855033372 1919000040 2318791715 2782550058 3710066744 3838000080 4637583430 5565100116 6956375145 7420133488 9275166860 11130200232 13912750290 18550333720 22260400464 27825500580 37100667440 55651001160 111302002320