Search a number
-
+
20131021312220 = 22571367947174329
BaseRepresentation
bin1001001001111000111100…
…10111111101000011011100
32122021111200111011210021002
410210330132113331003130
510114311312423442340
6110452021415325432
74145263321552610
oct444743627750334
978244614153232
1020131021312220
116461577797155
12231163a380878
13b30468948210
144d84bd221340
1524d9c26da715
hex124f1e5fd0dc

20131021312220 has 192 divisors, whose sum is σ = 52863594900480. Its totient is φ = 6269381572608.

The previous prime is 20131021312217. The next prime is 20131021312279. The reversal of 20131021312220 is 2221312013102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20131021312192 and 20131021312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115390016 + ... + 115564344.

It is an arithmetic number, because the mean of its divisors is an integer number (275331223440).

Almost surely, 220131021312220 is an apocalyptic number.

20131021312220 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 20131021312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26431797450240).

20131021312220 is an abundant number, since it is smaller than the sum of its proper divisors (32732573588260).

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

20131021312220 is a wasteful number, since it uses less digits than its factorization.

20131021312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175372 (or 175370 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20131021312220 its reverse (2221312013102), we get a palindrome (22352333325322).

The spelling of 20131021312220 in words is "twenty trillion, one hundred thirty-one billion, twenty-one million, three hundred twelve thousand, two hundred twenty".