Search a number
-
+
20111120000100 = 2235522772987791
BaseRepresentation
bin1001001001010011111000…
…01010011110010001100100
32122012121022112100101100000
410210221330022132101210
510114000033210000400
6110434530533221300
74143660205314513
oct444517412362144
978177275311300
1020111120000100
116454094a42868
122309805491830
13b2b616844a9c
144d75520a867a
1524d20a465600
hex124a7c29e464

20111120000100 has 216 divisors, whose sum is σ = 65607920629888. Its totient is φ = 5343602659200.

The previous prime is 20111120000063. The next prime is 20111120000113. The reversal of 20111120000100 is 100002111102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5237205 + ... + 8224995.

Almost surely, 220111120000100 is an apocalyptic number.

20111120000100 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 20111120000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32803960314944).

20111120000100 is an abundant number, since it is smaller than the sum of its proper divisors (45496800629788).

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

20111120000100 is a wasteful number, since it uses less digits than its factorization.

20111120000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988097 (or 2988078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111120000100 its reverse (100002111102), we get a palindrome (20211122111202).

The spelling of 20111120000100 in words is "twenty trillion, one hundred eleven billion, one hundred twenty million, one hundred", and thus it is an aban number.