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21312111030000 = 243547175969779
BaseRepresentation
bin1001101100010000111001…
…10011101010111011110000
32210110102021122212000202120
410312020130303222323300
510243134200410430000
6113154352035114240
74326514656531540
oct466103463527360
983412248760676
1021312111030000
11687746308632a
12248251aa42980
13bb7953548acb
14539724087320
1526e59c15e6a0
hex13621cceaef0

21312111030000 has 400 divisors, whose sum is σ = 83251781902080. Its totient is φ = 4584789504000.

The previous prime is 21312111029987. The next prime is 21312111030019. The reversal of 21312111030000 is 3011121312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 585111 + ... + 6554889.

Almost surely, 221312111030000 is an apocalyptic number.

21312111030000 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 21312111030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41625890951040).

21312111030000 is an abundant number, since it is smaller than the sum of its proper divisors (61939670872080).

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

21312111030000 is a wasteful number, since it uses less digits than its factorization.

21312111030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969834 (or 5969813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21312111030000 its reverse (3011121312), we get a palindrome (21315122151312).

The spelling of 21312111030000 in words is "twenty-one trillion, three hundred twelve billion, one hundred eleven million, thirty thousand".