Search a number
-
+
1004300013321 = 321125739472547
BaseRepresentation
bin11101001110101001111…
…00100000111100001001
310120000021101122201211200
432213110330200330021
5112423301300411241
62045211414414413
7132362330156013
oct16472474407411
93500241581750
101004300013321
11357a151a2610
12142782061409
13739220c1117
14368735751b3
151b1cdeee4b6
hexe9d4f20f09

1004300013321 has 24 divisors (see below), whose sum is σ = 1588691111904. Its totient is φ = 606298306560.

The previous prime is 1004300013259. The next prime is 1004300013337. The reversal of 1004300013321 is 1233100034001.

1004300013321 is a `hidden beast` number, since 100 + 430 + 0 + 0 + 133 + 2 + 1 = 666.

1004300013321 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 1004300013321 - 215 = 1004299980553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004300013294 and 1004300013303.

It is not an unprimeable number, because it can be changed into a prime (1004300013361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19710831 + ... + 19761716.

It is an arithmetic number, because the mean of its divisors is an integer number (66195462996).

Almost surely, 21004300013321 is an apocalyptic number.

1004300013321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004300013321 is a deficient number, since it is larger than the sum of its proper divisors (584391098583).

1004300013321 is a wasteful number, since it uses less digits than its factorization.

1004300013321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39472821 (or 39472818 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1004300013321 its reverse (1233100034001), we get a palindrome (2237400047322).

The spelling of 1004300013321 in words is "one trillion, four billion, three hundred million, thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 257 771 2313 2827 8481 25443 39472547 118417641 355252923 434198017 1302594051 3907782153 10144444579 30433333737 91300001211 111588890369 334766671107 1004300013321