Search a number
-
+
20321101120320 = 26325711138979201
BaseRepresentation
bin1001001111011011000000…
…00000111000001101000000
32122221200022110212111202200
410213231200000320031000
510130420103341322240
6111115215053313200
74165102554351420
oct447554000701500
978850273774680
1020321101120320
1165251488a3350
122342447795800
13b4536b970b50
145037919d6480
152538e9cb8930
hex127b60038340

20321101120320 has 1344 divisors, whose sum is σ = 94902193451520. Its totient is φ = 3853910016000.

The previous prime is 20321101120283. The next prime is 20321101120321. The reversal of 20321101120320 is 2302110112302.

20321101120320 is a `hidden beast` number, since 2 + 0 + 321 + 1 + 0 + 1 + 1 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20321101120293 and 20321101120302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321101120321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 256536720 + ... + 256615920.

It is an arithmetic number, because the mean of its divisors is an integer number (70611751080).

Almost surely, 220321101120320 is an apocalyptic number.

20321101120320 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 20321101120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47451096725760).

20321101120320 is an abundant number, since it is smaller than the sum of its proper divisors (74581092331200).

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

20321101120320 is a wasteful number, since it uses less digits than its factorization.

20321101120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79344 (or 79331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20321101120320 its reverse (2302110112302), we get a palindrome (22623211232622).

The spelling of 20321101120320 in words is "twenty trillion, three hundred twenty-one billion, one hundred one million, one hundred twenty thousand, three hundred twenty".