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10144131321 = 328365918131
BaseRepresentation
bin10010111001010001…
…10010100011111001
3222011221222021010110
421130220302203321
5131233344200241
64354331534533
7506244456612
oct113450624371
928157867113
1010144131321
114336109005
121b712ba449
13c5881308c
146c3360c09
153e587d816
hex25ca328f9

10144131321 has 16 divisors (see below), whose sum is σ = 13594648320. Its totient is φ = 6728260560.

The previous prime is 10144131313. The next prime is 10144131337. The reversal of 10144131321 is 12313144101.

10144131321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144131321 - 23 = 10144131313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10144131391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550426 + ... + 568556.

It is an arithmetic number, because the mean of its divisors is an integer number (849665520).

Almost surely, 210144131321 is an apocalyptic number.

It is an amenable number.

10144131321 is a deficient number, since it is larger than the sum of its proper divisors (3450516999).

10144131321 is a wasteful number, since it uses less digits than its factorization.

10144131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19076.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10144131321 its reverse (12313144101), we get a palindrome (22457275422).

The spelling of 10144131321 in words is "ten billion, one hundred forty-four million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 283 659 849 1977 18131 54393 186497 559491 5131073 11948329 15393219 35844987 3381377107 10144131321