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10131301321021 = 137102172430073
BaseRepresentation
bin1001001101101110000010…
…0111011100100100111101
31022212112122210211110022001
42103123200213130210331
52311442401114233041
633314131112022301
72063651043223426
oct223334047344475
938775583743261
1010131301321021
11325672a522971
121177620391991
135864ba80b39a
1427050138064d
15128812158131
hex936e09dc93d

10131301321021 has 8 divisors (see below), whose sum is σ = 10215247916664. Its totient is φ = 10047499587840.

The previous prime is 10131301321007. The next prime is 10131301321027. The reversal of 10131301321021 is 12012310313101.

It can be written as a sum of positive squares in 4 ways, for example, as 1503652275225 + 8627649045796 = 1226235^2 + 2937286^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131301321021 - 25 = 10131301320989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131301321021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131301321027) 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 7 ways as a sum of consecutive naturals, for example, 36075160 + ... + 36354913.

It is an arithmetic number, because the mean of its divisors is an integer number (1276905989583).

Almost surely, 210131301321021 is an apocalyptic number.

It is an amenable number.

10131301321021 is a deficient number, since it is larger than the sum of its proper divisors (83946595643).

10131301321021 is a wasteful number, since it uses less digits than its factorization.

10131301321021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72431231.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10131301321021 its reverse (12012310313101), we get a palindrome (22143611634122).

The spelling of 10131301321021 in words is "ten trillion, one hundred thirty-one billion, three hundred one million, three hundred twenty-one thousand, twenty-one".

Divisors: 1 137 1021 139877 72430073 9922920001 73951104533 10131301321021