Search a number
-
+
20000211000 = 23353711217463
BaseRepresentation
bin10010101000000110…
…110000000000111000
31220121211220222200120
4102220012300000320
5311430023223000
613104333533240
71305423663030
oct225006600070
956554828616
1020000211000
118533663600
123a62044220
131b6974c9a3
14d7a33c8c0
157c0cad6a0
hex4a81b0038

20000211000 has 768 divisors, whose sum is σ = 83177902080. Its totient is φ = 3902976000.

The previous prime is 20000210999. The next prime is 20000211001. The reversal of 20000211000 is 11200002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20000210999) and next prime (20000211001).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 20000211000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43196769 + ... + 43197231.

It is an arithmetic number, because the mean of its divisors is an integer number (108304560).

Almost surely, 220000211000 is an apocalyptic number.

20000211000 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 20000211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41588951040).

20000211000 is an abundant number, since it is smaller than the sum of its proper divisors (63177691080).

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

20000211000 is a wasteful number, since it uses less digits than its factorization.

20000211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20000211000 its reverse (11200002), we get a palindrome (20011411002).

The spelling of 20000211000 in words is "twenty billion, two hundred eleven thousand".