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2303110020 = 2235179832297
BaseRepresentation
bin1000100101000110…
…1010101110000100
312221111201010000010
42021101222232010
514204044010040
61020311350220
7111034053321
oct21121525604
95844633003
102303110020
11a82055712
12543382370
132a91c38c3
1417bc3bb48
15d72d7e80
hex8946ab84

2303110020 has 96 divisors (see below), whose sum is σ = 6837965568. Its totient is φ = 577196032.

The previous prime is 2303110013. The next prime is 2303110039. The reversal of 2303110020 is 200113032.

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 = 2303109978 and 2303110005.

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 31 ways as a sum of consecutive naturals, for example, 1001512 + ... + 1003808.

It is an arithmetic number, because the mean of its divisors is an integer number (71228808).

Almost surely, 22303110020 is an apocalyptic number.

2303110020 is a gapful number since it is divisible by the number (20) 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 2303110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418982784).

2303110020 is an abundant number, since it is smaller than the sum of its proper divisors (4534855548).

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

2303110020 is a wasteful number, since it uses less digits than its factorization.

2303110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3307 counting only the distinct ones).

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

The square root of 2303110020 is about 47990.7284795720. The cubic root of 2303110020 is about 1320.6008169380.

Adding to 2303110020 its reverse (200113032), we get a palindrome (2503223052).

The spelling of 2303110020 in words is "two billion, three hundred three million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 983 1020 1966 2297 2949 3932 4594 4915 5898 6891 9188 9830 11485 11796 13782 14745 16711 19660 22970 27564 29490 33422 34455 39049 45940 50133 58980 66844 68910 78098 83555 100266 117147 137820 156196 167110 195245 200532 234294 250665 334220 390490 468588 501330 585735 780980 1002660 1171470 2257951 2342940 4515902 6773853 9031804 11289755 13547706 22579510 27095412 33869265 38385167 45159020 67738530 76770334 115155501 135477060 153540668 191925835 230311002 383851670 460622004 575777505 767703340 1151555010 2303110020