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20341141300 = 225211310131777
BaseRepresentation
bin10010111100011011…
…010010111100110100
31221111121110001010201
4102330123102330310
5313124313010200
613202233130244
71320033563644
oct227433227464
957447401121
1020341141300
118699053587
123b38259984
131bc227b8ac
14dad728524
157e0ba4c6a
hex4bc6d2f34

20341141300 has 72 divisors (see below), whose sum is σ = 44599942296. Its totient is φ = 8051957760.

The previous prime is 20341141259. The next prime is 20341141333. The reversal of 20341141300 is 314114302.

It can be written as a sum of positive squares in 12 ways, for example, as 18040787856 + 2300353444 = 134316^2 + 47962^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11446012 + ... + 11447788.

It is an arithmetic number, because the mean of its divisors is an integer number (619443643).

Almost surely, 220341141300 is an apocalyptic number.

20341141300 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 20341141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22299971148).

20341141300 is an abundant number, since it is smaller than the sum of its proper divisors (24258800996).

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

20341141300 is a wasteful number, since it uses less digits than its factorization.

20341141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20341141300 its reverse (314114302), we get a palindrome (20655255602).

The spelling of 20341141300 in words is "twenty billion, three hundred forty-one million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1013 1130 1777 2026 2260 2825 3554 4052 5065 5650 7108 8885 10130 11300 17770 20260 25325 35540 44425 50650 88850 101300 114469 177700 200801 228938 401602 457876 572345 803204 1004005 1144690 1800101 2008010 2289380 2861725 3600202 4016020 5020025 5723450 7200404 9000505 10040050 11446900 18001010 20080100 36002020 45002525 90005050 180010100 203411413 406822826 813645652 1017057065 2034114130 4068228260 5085285325 10170570650 20341141300