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21011100111012 = 223111935996612083
BaseRepresentation
bin1001100011100000001110…
…01010001001000010100100
32202101122022200200222212110
410301300013022021002210
510223221213112023022
6112404211030321020
74266000435120414
oct461600712110244
982348280628773
1021011100111012
1167708372886a0
122434112ab9170
13b954521590ab
14528d2a994644
15266830d6400c
hex131c072890a4

21011100111012 has 192 divisors, whose sum is σ = 53957020723200. Its totient is φ = 6310838476800.

The previous prime is 21011100110989. The next prime is 21011100111059.

21011100111012 is nontrivially palindromic in base 10.

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

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, 10086940923 + ... + 10086943005.

It is an arithmetic number, because the mean of its divisors is an integer number (281026149600).

Almost surely, 221011100111012 is an apocalyptic number.

21011100111012 is a gapful number since it is divisible by the number (22) 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 21011100111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26978510361600).

21011100111012 is an abundant number, since it is smaller than the sum of its proper divisors (32945920612188).

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

21011100111012 is a wasteful number, since it uses less digits than its factorization.

21011100111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 21011100 and 111012, that added together give a palindrome (21122112).

The spelling of 21011100111012 in words is "twenty-one trillion, eleven billion, one hundred million, one hundred eleven thousand, twelve".