Search a number
-
+
13005550344321 = 3212722788356767
BaseRepresentation
bin1011110101000001011100…
…1101010101100010000001
31201001022121011110020022200
42331100113031111202001
53201040331342004241
643354400051423413
72511422442633303
oct275202715254201
951038534406280
1013005550344321
11416469412a617
1215606905b4b69
13734558848122
1432d687225973
15178486a9d4b6
hexbd417355881

13005550344321 has 48 divisors (see below), whose sum is σ = 19038995349504. Its totient is φ = 8554351915872.

The previous prime is 13005550344301. The next prime is 13005550344359. The reversal of 13005550344321 is 12344305550031.

13005550344321 is a `hidden beast` number, since 1 + 30 + 0 + 5 + 550 + 3 + 44 + 32 + 1 = 666.

It is not a de Polignac number, because 13005550344321 - 211 = 13005550342273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13005550344301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229075680 + ... + 229132446.

It is an arithmetic number, because the mean of its divisors is an integer number (396645736448).

Almost surely, 213005550344321 is an apocalyptic number.

It is an amenable number.

13005550344321 is a deficient number, since it is larger than the sum of its proper divisors (6033445005183).

13005550344321 is a wasteful number, since it uses less digits than its factorization.

13005550344321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58010 (or 58007 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 13005550344321 its reverse (12344305550031), we get a palindrome (25349855894352).

The spelling of 13005550344321 in words is "thirteen trillion, five billion, five hundred fifty million, three hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 127 227 381 681 883 1143 2043 2649 7947 28829 56767 86487 112141 170301 200441 259461 336423 510903 601323 1009269 1803969 7209409 12886109 21628227 25456007 38658327 50125261 64884681 76368021 115974981 150375783 229104063 451127349 1636535843 4909607529 6365908147 11378434247 14728822587 19097724441 34135302741 57293173323 102405908223 1445061149369 4335183448107 13005550344321