Search a number
-
+
13301020303311 = 31313914731166561
BaseRepresentation
bin1100000110001110001010…
…0101110001111111001111
31202002120020222022100001010
43001203202211301333033
53220410442144201221
644142223202220303
72541652453066206
oct301434245617717
952076228270033
1013301020303311
114268a27227a74
1215a99b0954693
13756385cb26a0
1433dab687c23d
15180ecb6d7c76
hexc18e2971fcf

13301020303311 has 32 divisors (see below), whose sum is σ = 19237724450560. Its totient is φ = 8125756185600.

The previous prime is 13301020303279. The next prime is 13301020303313. The reversal of 13301020303311 is 11330302010331.

It is not a de Polignac number, because 13301020303311 - 25 = 13301020303279 is a prime.

It is a super-2 number, since 2×133010203033112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301020303313) 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, 79773471 + ... + 79940031.

It is an arithmetic number, because the mean of its divisors is an integer number (601178889080).

Almost surely, 213301020303311 is an apocalyptic number.

13301020303311 is a deficient number, since it is larger than the sum of its proper divisors (5936704147249).

13301020303311 is a wasteful number, since it uses less digits than its factorization.

13301020303311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181447.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13301020303311 its reverse (11330302010331), we get a palindrome (24631322313642).

The spelling of 13301020303311 in words is "thirteen trillion, three hundred one billion, twenty million, three hundred three thousand, three hundred eleven".

Divisors: 1 3 13 39 139 417 1807 5421 14731 44193 166561 191503 499683 574509 2047609 2165293 6142827 6495879 23151979 26618917 69455937 79856751 300975727 902927181 2453610091 7360830273 31896931183 95690793549 341051802649 1023155407947 4433673434437 13301020303311