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21301310130012 = 223211231349945083
BaseRepresentation
bin1001101011111100110010…
…00001100000011101011100
32210102101101221001110101200
410311332121001200131130
510243000040343130022
6113145404202235500
74325653215434313
oct465763101403534
983371357043350
1021301310130012
116872920276300
1224804057b5b90
13bb6921951c23
14538dbb80327a
1526e168cecbac
hex135f9906075c

21301310130012 has 216 divisors, whose sum is σ = 61112985024000. Its totient is φ = 6244794705600.

The previous prime is 21301310129933. The next prime is 21301310130091. The reversal of 21301310130012 is 21003101310312.

21301310130012 is a `hidden beast` number, since 21 + 30 + 1 + 310 + 1 + 300 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21301310129933) and next prime (21301310130091).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 472468423 + ... + 472513505.

Almost surely, 221301310130012 is an apocalyptic number.

21301310130012 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 21301310130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30556492512000).

21301310130012 is an abundant number, since it is smaller than the sum of its proper divisors (39811674893988).

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

21301310130012 is a wasteful number, since it uses less digits than its factorization.

21301310130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48645 (or 48629 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21301310130012 its reverse (21003101310312), we get a palindrome (42304411440324).

The spelling of 21301310130012 in words is "twenty-one trillion, three hundred one billion, three hundred ten million, one hundred thirty thousand, twelve".