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21012001303120 = 245262650016289
BaseRepresentation
bin1001100011100001111001…
…10111111010101001010000
32202101201122111110022000221
410301300330313322221100
510223230034313144440
6112404440302122424
74266031660122562
oct461607467725120
982351574408027
1021012001303120
116771159a54663
122434324880414
13b95566a7c269
14528db4541332
15266885028d4a
hex131c3cdfaa50

21012001303120 has 20 divisors (see below), whose sum is σ = 48852903029940. Its totient is φ = 8404800521216.

The previous prime is 21012001303093. The next prime is 21012001303121. The reversal of 21012001303120 is 2130310021012.

It can be written as a sum of positive squares in 2 ways, for example, as 14674477009984 + 6337524293136 = 3830728^2 + 2517444^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21012001303094 and 21012001303103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012001303121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 131325008065 + ... + 131325008224.

It is an arithmetic number, because the mean of its divisors is an integer number (2442645151497).

Almost surely, 221012001303120 is an apocalyptic number.

21012001303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012001303120 is an abundant number, since it is smaller than the sum of its proper divisors (27840901726820).

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

21012001303120 is a wasteful number, since it uses less digits than its factorization.

21012001303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262650016302 (or 262650016296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21012001303120 its reverse (2130310021012), we get a palindrome (23142311324132).

The spelling of 21012001303120 in words is "twenty-one trillion, twelve billion, one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 262650016289 525300032578 1050600065156 1313250081445 2101200130312 2626500162890 4202400260624 5253000325780 10506000651560 21012001303120