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1310142232321 = 135571220314827
BaseRepresentation
bin10011000100001010100…
…011111111011100000001
311122020201001202020102021
4103010022203333130001
5132431132402413241
62441512050521441
7163440355141666
oct23041243773401
94566631666367
101310142232321
114656a015347a
12191ab7b96281
13967133c4040
14475a8573a6d
152412e52b0d1
hex1310a8ff701

1310142232321 has 16 divisors (see below), whose sum is σ = 1413666644544. Its totient is φ = 1207010516544.

The previous prime is 1310142232309. The next prime is 1310142232337. The reversal of 1310142232321 is 1232322410131.

It is a cyclic number.

It is not a de Polignac number, because 1310142232321 - 213 = 1310142224129 is a prime.

It is a super-2 number, since 2×13101422323212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310142233321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88354510 + ... + 88369336.

It is an arithmetic number, because the mean of its divisors is an integer number (88354165284).

Almost surely, 21310142232321 is an apocalyptic number.

It is an amenable number.

1310142232321 is a deficient number, since it is larger than the sum of its proper divisors (103524412223).

1310142232321 is a wasteful number, since it uses less digits than its factorization.

1310142232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27600.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1310142232321 its reverse (1232322410131), we get a palindrome (2542464642452).

The spelling of 1310142232321 in words is "one trillion, three hundred ten billion, one hundred forty-two million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 13 557 7241 12203 14827 158639 192751 6797071 8258639 88361923 107362307 180933881 2352140453 100780171717 1310142232321