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13045525305 = 3519371237129
BaseRepresentation
bin11000010011001001…
…01110101100111001
31020200011110100102220
430021210232230321
5203204123302210
65554254514253
7641165064321
oct141144565471
936604410386
1013045525305
11559494a27a
122640b05989
1312cb951457
148ba81a281
15515445c70
hex30992eb39

13045525305 has 32 divisors (see below), whose sum is σ = 22565251200. Its totient is φ = 6413271552.

The previous prime is 13045525291. The next prime is 13045525327. The reversal of 13045525305 is 50352554031.

It is a happy number.

13045525305 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 13045525305 - 217 = 13045394233 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608020 + ... + 629109.

It is an arithmetic number, because the mean of its divisors is an integer number (705164100).

Almost surely, 213045525305 is an apocalyptic number.

13045525305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13045525305 is a deficient number, since it is larger than the sum of its proper divisors (9519725895).

13045525305 is a wasteful number, since it uses less digits than its factorization.

13045525305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237193.

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 13045525305 in words is "thirteen billion, forty-five million, five hundred twenty-five thousand, three hundred five".

Divisors: 1 3 5 15 19 37 57 95 111 185 285 555 703 2109 3515 10545 1237129 3711387 6185645 18556935 23505451 45773773 70516353 117527255 137321319 228868865 352581765 686606595 869701687 2609105061 4348508435 13045525305