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20203313100 = 2235278785571
BaseRepresentation
bin10010110100001101…
…100001011111001100
31221011000002122101120
4102310031201133030
5312334022004400
613140431040540
71313441220315
oct226415413714
957130078346
1020203313100
118628275183
123aba070150
131b9c851c49
14d992cb60c
157d3a2bca0
hex4b43617cc

20203313100 has 72 divisors (see below), whose sum is σ = 58529878848. Its totient is φ = 5380641600.

The previous prime is 20203313071. The next prime is 20203313153. The reversal of 20203313100 is 131330202.

It is a super-2 number, since 2×202033131002 (a number of 21 digits) contains 22 as substring.

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 20203313100.

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 23 ways as a sum of consecutive naturals, for example, 193315 + ... + 278885.

It is an arithmetic number, because the mean of its divisors is an integer number (812914984).

Almost surely, 220203313100 is an apocalyptic number.

20203313100 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 20203313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29264939424).

20203313100 is an abundant number, since it is smaller than the sum of its proper divisors (38326565748).

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

20203313100 is a wasteful number, since it uses less digits than its factorization.

20203313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86375 (or 86368 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20203313100 its reverse (131330202), we get a palindrome (20334643302).

The spelling of 20203313100 in words is "twenty billion, two hundred three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 787 1574 2361 3148 3935 4722 7870 9444 11805 15740 19675 23610 39350 47220 59025 78700 85571 118050 171142 236100 256713 342284 427855 513426 855710 1026852 1283565 1711420 2139275 2567130 4278550 5134260 6417825 8557100 12835650 25671300 67344377 134688754 202033131 269377508 336721885 404066262 673443770 808132524 1010165655 1346887540 1683609425 2020331310 3367218850 4040662620 5050828275 6734437700 10101656550 20203313100