Search a number
-
+
20200201010000 = 24541131517671
BaseRepresentation
bin1001001011111001110011…
…10011100011101101010000
32122112010020201222120000222
410211330321303203231100
510121430002424310000
6110543502204332212
74153262545360604
oct445747163435520
978463221876028
1020200201010000
116488947941000
122322b26544068
13b36b42151b2b
144db9a2d05504
152506c0cb3a85
hex125f39ce3b50

20200201010000 has 200 divisors, whose sum is σ = 53793738343488. Its totient is φ = 7345522800000.

The previous prime is 20200201009999. The next prime is 20200201010027. The reversal of 20200201010000 is 1010200202.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20200201010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12551165 + ... + 14068835.

Almost surely, 220200201010000 is an apocalyptic number.

20200201010000 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 20200201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26896869171744).

20200201010000 is an abundant number, since it is smaller than the sum of its proper divisors (33593537333488).

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

20200201010000 is an equidigital number, since it uses as much as digits as its factorization.

20200201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517732 (or 1517689 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20200201010000 its reverse (1010200202), we get a palindrome (20201211210202).

The spelling of 20200201010000 in words is "twenty trillion, two hundred billion, two hundred one million, ten thousand".