Search a number
-
+
1332103310013 = 3721929138111909
BaseRepresentation
bin10011011000100111100…
…010110110101010111101
311201100101120101120112010
4103120213202312222331
5133311121421410023
62455543153001433
7165145522211400
oct23304742665275
94640346346463
101332103310013
11473a3a655163
12196206853279
1398803168b78
144868d0a1d37
15249b751c093
hex136278b6abd

1332103310013 has 96 divisors (see below), whose sum is σ = 2251676016000. Its totient is φ = 695709181440.

The previous prime is 1332103309987. The next prime is 1332103310017. The reversal of 1332103310013 is 3100133012331.

It is not a de Polignac number, because 1332103310013 - 214 = 1332103293629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332103310017) 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 95 ways as a sum of consecutive naturals, for example, 111850903 + ... + 111862811.

It is an arithmetic number, because the mean of its divisors is an integer number (23454958500).

Almost surely, 21332103310013 is an apocalyptic number.

It is an amenable number.

1332103310013 is a deficient number, since it is larger than the sum of its proper divisors (919572705987).

1332103310013 is a wasteful number, since it uses less digits than its factorization.

1332103310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1332103310013 its reverse (3100133012331), we get a palindrome (4432236322344).

The spelling of 1332103310013 in words is "one trillion, three hundred thirty-two billion, one hundred three million, three hundred ten thousand, thirteen".

Divisors: 1 3 7 19 21 29 49 57 87 133 147 203 399 551 609 931 1381 1421 1653 2793 3857 4143 4263 9667 11571 11909 26239 26999 29001 35727 40049 67669 78717 80997 83363 120147 183673 203007 226271 250089 280343 345361 551019 583541 678813 760931 841029 1036083 1285711 1583897 1750623 1962401 2282793 2417527 3857133 4751691 5326517 5887203 6561859 7252581 11087279 15979551 16446329 16922689 19685577 33261837 37285619 45933013 49338987 50768067 111856857 115124303 137799039 312480251 321531091 345372909 476943541 805870121 937440753 964593273 1430830623 2187361757 2417610363 3338604787 6562085271 9061927279 10015814361 15311532299 23370233509 27185781837 45934596897 63433490953 70110700527 190300472859 444034436671 1332103310013