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1331241001353 = 32612424846997
BaseRepresentation
bin10011010111110100001…
…001011010000110001001
311201021011110210202102100
4103113310021122012021
5133302340144020403
62455321430424013
7165115251544104
oct23276411320611
94637143722370
101331241001353
1147363792697a
12196005b02009
13986c660b263
144860a75773b
15249669882a3
hex135f425a189

1331241001353 has 12 divisors (see below), whose sum is σ = 1954426680388. Its totient is φ = 872944918560.

The previous prime is 1331241001331. The next prime is 1331241001357. The reversal of 1331241001353 is 3531001421331.

It can be written as a sum of positive squares in 2 ways, for example, as 438420109689 + 892820891664 = 662133^2 + 944892^2 .

It is not a de Polignac number, because 1331241001353 - 29 = 1331241000841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331241001357) 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 11 ways as a sum of consecutive naturals, for example, 1212422950 + ... + 1212424047.

Almost surely, 21331241001353 is an apocalyptic number.

It is an amenable number.

1331241001353 is a deficient number, since it is larger than the sum of its proper divisors (623185679035).

1331241001353 is a wasteful number, since it uses less digits than its factorization.

1331241001353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424847064 (or 2424847061 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1331241001353 its reverse (3531001421331), we get a palindrome (4862242422684).

The spelling of 1331241001353 in words is "one trillion, three hundred thirty-one billion, two hundred forty-one million, one thousand, three hundred fifty-three".

Divisors: 1 3 9 61 183 549 2424846997 7274540991 21823622973 147915666817 443747000451 1331241001353