Search a number
-
+
13056440105 = 559127563619
BaseRepresentation
bin11000010100011100…
…10111011100101001
31020200220222212201202
430022032113130221
5203214422040410
65555324453545
7641356624022
oct141216273451
936626885652
1013056440105
1155a0024775
1226446aa2b5
131300ca3507
148bc05bc49
1551639eca5
hex30a397729

13056440105 has 32 divisors (see below), whose sum is σ = 16113254400. Its totient is φ = 10152741312.

The previous prime is 13056440087. The next prime is 13056440129. The reversal of 13056440105 is 50104465031.

It is a happy number.

13056440105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13056440105 is a prime.

It is a super-2 number, since 2×130564401052 (a number of 21 digits) contains 22 as substring.

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, 21092486 + ... + 21093104.

It is an arithmetic number, because the mean of its divisors is an integer number (503539200).

Almost surely, 213056440105 is an apocalyptic number.

It is an amenable number.

13056440105 is a deficient number, since it is larger than the sum of its proper divisors (3056814295).

13056440105 is a wasteful number, since it uses less digits than its factorization.

13056440105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 13056440105 in words is "thirteen billion, fifty-six million, four hundred forty thousand, one hundred five".

Divisors: 1 5 59 127 295 563 619 635 2815 3095 7493 33217 36521 37465 71501 78613 166085 182605 348497 357505 393065 1742485 4218559 4638167 20561323 21092795 23190835 44259119 102806615 221295595 2611288021 13056440105