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3113332020 = 22325192333907
BaseRepresentation
bin1011100110010001…
…1010110100110100
322000222021122122100
42321210122310310
522334003111040
61232533302100
7140102612511
oct27144326464
98028248570
103113332020
111358438477
1272a794930
133a80153c6
142176a8308
151334cdb30
hexb991ad34

3113332020 has 144 divisors (see below), whose sum is σ = 9986034240. Its totient is φ = 782949888.

The previous prime is 3113331971. The next prime is 3113332031. The reversal of 3113332020 is 202333113.

3113332020 is a `hidden beast` number, since 311 + 3 + 332 + 0 + 20 = 666.

3113332020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3113331984 and 3113332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794907 + ... + 798813.

It is an arithmetic number, because the mean of its divisors is an integer number (69347460).

Almost surely, 23113332020 is an apocalyptic number.

3113332020 is a gapful number since it is divisible by the number (30) 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 3113332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993017120).

3113332020 is an abundant number, since it is smaller than the sum of its proper divisors (6872702220).

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

3113332020 is a wasteful number, since it uses less digits than its factorization.

3113332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3113332020 is about 55797.2402543352. The cubic root of 3113332020 is about 1460.1870061330.

Adding to 3113332020 its reverse (202333113), we get a palindrome (3315665133).

The spelling of 3113332020 in words is "three billion, one hundred thirteen million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 233 285 342 380 466 570 684 699 855 932 1140 1165 1398 1710 2097 2330 2796 3420 3495 3907 4194 4427 4660 6990 7814 8388 8854 10485 11721 13281 13980 15628 17708 19535 20970 22135 23442 26562 35163 39070 39843 41940 44270 46884 53124 58605 66405 70326 74233 78140 79686 88540 117210 132810 140652 148466 159372 175815 199215 222699 234420 265620 296932 351630 371165 398430 445398 668097 703260 742330 796860 890796 910331 1113495 1336194 1484660 1820662 2226990 2672388 2730993 3340485 3641324 4453980 4551655 5461986 6680970 8192979 9103310 10923972 13361940 13654965 16385958 17296289 18206620 27309930 32771916 34592578 40964895 51888867 54619860 69185156 81929790 86481445 103777734 155666601 163859580 172962890 207555468 259444335 311333202 345925780 518888670 622666404 778333005 1037777340 1556666010 3113332020