Search a number
-
+
20201101122000 = 2435317375352703
BaseRepresentation
bin1001001011111011011110…
…11101001101100111010000
32122112012120110200222120110
410211331233131031213100
510121433323341401000
6110544131401041320
74153324055244051
oct445755735154720
978465513628513
1020201101122000
116489269a3a517
122323137a86240
13b36c56787496
144dba4a690728
15250724d13850
hex125f6f74d9d0

20201101122000 has 320 divisors, whose sum is σ = 70823211024384. Its totient is φ = 4933050163200.

The previous prime is 20201101121953. The next prime is 20201101122011. The reversal of 20201101122000 is 22110110202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1097649 + ... + 6450351.

Almost surely, 220201101122000 is an apocalyptic number.

20201101122000 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 20201101122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35411605512192).

20201101122000 is an abundant number, since it is smaller than the sum of its proper divisors (50622109902384).

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

20201101122000 is a wasteful number, since it uses less digits than its factorization.

20201101122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352783 (or 5352767 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20201101122000 its reverse (22110110202), we get a palindrome (20223211232202).

The spelling of 20201101122000 in words is "twenty trillion, two hundred one billion, one hundred one million, one hundred twenty-two thousand".