Search a number
-
+
111283020 = 223251741887
BaseRepresentation
bin1101010001000…
…00101101001100
321202101202121100
412220200231030
5211442024040
615013103100
72520614202
oct650405514
9252352540
10111283020
11578a8642
1231327a90
131a094354
1410acb072
159b82b30
hex6a20b4c

111283020 has 144 divisors (see below), whose sum is σ = 366545088. Its totient is φ = 27217920.

The previous prime is 111283009. The next prime is 111283031. The reversal of 111283020 is 20382111.

It is an interprime number because it is at equal distance from previous prime (111283009) and next prime (111283031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111282984 and 111283002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125017 + ... + 125903.

It is an arithmetic number, because the mean of its divisors is an integer number (2545452).

Almost surely, 2111283020 is an apocalyptic number.

111283020 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 111283020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183272544).

111283020 is an abundant number, since it is smaller than the sum of its proper divisors (255262068).

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

111283020 is a wasteful number, since it uses less digits than its factorization.

111283020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 111283020 is about 10549.0767368524. The cubic root of 111283020 is about 480.9976645331.

Subtracting from 111283020 its reverse (20382111), we obtain a palindrome (90900909).

The spelling of 111283020 in words is "one hundred eleven million, two hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 887 1020 1230 1394 1476 1530 1774 1845 2091 2460 2661 2788 3060 3485 3548 3690 4182 4435 5322 6273 6970 7380 7983 8364 8870 10455 10644 12546 13305 13940 15079 15966 17740 20910 25092 26610 30158 31365 31932 36367 39915 41820 45237 53220 60316 62730 72734 75395 79830 90474 109101 125460 135711 145468 150790 159660 180948 181835 218202 226185 271422 301580 327303 363670 436404 452370 542844 545505 618239 654606 678555 727340 904740 1091010 1236478 1309212 1357110 1636515 1854717 2182020 2472956 2714220 3091195 3273030 3709434 5564151 6182390 6546060 7418868 9273585 11128302 12364780 18547170 22256604 27820755 37094340 55641510 111283020