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21310002000000 = 2732567237653
BaseRepresentation
bin1001101100001100111110…
…00110010111000010000000
32210110012211200100012111100
410312012133012113002000
510243120341003000000
6113153402455214400
74326411500215200
oct466063706270200
983405750305440
1021310002000000
11687658063a92a
122482030677400
13bb76a8618a6c
145395a3d2a400
1526e4c6e11a00
hex13619f197080

21310002000000 has 2016 divisors, whose sum is σ = 91715811569460. Its totient is φ = 4731955200000.

The previous prime is 21310001999947. The next prime is 21310002000013. The reversal of 21310002000000 is 20001312.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 17340694894656 + 3969307105344 = 4164216^2 + 1992312^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 32633999674 + ... + 32634000326.

Almost surely, 221310002000000 is an apocalyptic number.

21310002000000 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 21310002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45857905784730).

21310002000000 is an abundant number, since it is smaller than the sum of its proper divisors (70405809569460).

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

21310002000000 is an frugal number, since it uses more digits than its factorization.

21310002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21310002000000 its reverse (20001312), we get a palindrome (21310022001312).

The spelling of 21310002000000 in words is "twenty-one trillion, three hundred ten billion, two million", and thus it is an aban number.