Search a number
-
+
13035340150133 = 723417963247991
BaseRepresentation
bin1011110110110000011011…
…0100011011010101110101
31201011011111021020011110212
42331230012310123111311
53202032334034301013
643420204054355205
72513525611046150
oct275540664332565
951134437204425
1013035340150133
114176290758644
12156640505bb05
137372c54c6b62
14330cb1796c97
1517912c0076a8
hexbdb06d1b575

13035340150133 has 32 divisors (see below), whose sum is σ = 15926466834432. Its totient is φ = 10425340886400.

The previous prime is 13035340150031. The next prime is 13035340150139. The reversal of 13035340150133 is 33105104353031.

It is a cyclic number.

It is not a de Polignac number, because 13035340150133 - 214 = 13035340133749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13035340150133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035340150139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52439768 + ... + 52687758.

It is an arithmetic number, because the mean of its divisors is an integer number (497702088576).

Almost surely, 213035340150133 is an apocalyptic number.

It is an amenable number.

13035340150133 is a deficient number, since it is larger than the sum of its proper divisors (2891126684299).

13035340150133 is a wasteful number, since it uses less digits than its factorization.

13035340150133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256025.

The product of its (nonzero) digits is 24300, while the sum is 32.

The spelling of 13035340150133 in words is "thirteen trillion, thirty-five billion, three hundred forty million, one hundred fifty thousand, one hundred thirty-three".

Divisors: 1 7 23 41 161 287 943 6601 7963 55741 183149 247991 326483 1282043 1735937 2285381 5703793 7509109 10167631 39926551 52563763 71173417 233855513 1636988591 1974752333 13823266331 45419303659 80964845653 317935125613 566753919571 1862191450019 13035340150133