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3010132020 = 2235717940039
BaseRepresentation
bin1011001101101010…
…1111100000110100
321202210002112212010
42303122233200310
522131043211040
61214405324220
7134410462050
oct26332574064
97683075763
103010132020
111305160815
12700106670
1338c82120c
14207ac2c60
151293e5e80
hexb36af834

3010132020 has 96 divisors (see below), whose sum is σ = 9686476800. Its totient is φ = 684169344.

The previous prime is 3010132001. The next prime is 3010132031. The reversal of 3010132020 is 202310103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3010131987 and 3010132005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55161 + ... + 95199.

It is an arithmetic number, because the mean of its divisors is an integer number (100900800).

Almost surely, 23010132020 is an apocalyptic number.

3010132020 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 3010132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843238400).

3010132020 is an abundant number, since it is smaller than the sum of its proper divisors (6676344780).

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

3010132020 is a wasteful number, since it uses less digits than its factorization.

3010132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40237 (or 40235 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3010132020 is about 54864.6700527762. The cubic root of 3010132020 is about 1443.8714015715.

Adding to 3010132020 its reverse (202310103), we get a palindrome (3212442123).

The spelling of 3010132020 in words is "three billion, ten million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 358 420 537 716 895 1074 1253 1790 2148 2506 2685 3580 3759 5012 5370 6265 7518 10740 12530 15036 18795 25060 37590 40039 75180 80078 120117 160156 200195 240234 280273 400390 480468 560546 600585 800780 840819 1121092 1201170 1401365 1681638 2402340 2802730 3363276 4204095 5605460 7166981 8408190 14333962 16816380 21500943 28667924 35834905 43001886 50168867 71669810 86003772 100337734 107504715 143339620 150506601 200675468 215009430 250844335 301013202 430018860 501688670 602026404 752533005 1003377340 1505066010 3010132020