Search a number
-
+
13130224033311 = 3271118946932227
BaseRepresentation
bin1011111100010001111001…
…0101101101111000011111
31201111020101212222211211100
42333010132111231320133
53210111144323031221
643531535221324143
72523425122541160
oct277043625557037
951436355884740
1013130224033311
114202551187420
121580885566653
137432370b0428
1433571316b767
1517b832000926
hexbf11e56de1f

13130224033311 has 24 divisors (see below), whose sum is σ = 23645771420544. Its totient is φ = 6820895601360.

The previous prime is 13130224033309. The next prime is 13130224033313. The reversal of 13130224033311 is 11333042203131.

13130224033311 is a `hidden beast` number, since 1 + 3 + 1 + 302 + 2 + 40 + 3 + 3 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (13130224033309) and next prime (13130224033313).

It is not a de Polignac number, because 13130224033311 - 21 = 13130224033309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130224033313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9473465421 + ... + 9473466806.

It is an arithmetic number, because the mean of its divisors is an integer number (985240475856).

Almost surely, 213130224033311 is an apocalyptic number.

13130224033311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13130224033311 is a deficient number, since it is larger than the sum of its proper divisors (10515547387233).

13130224033311 is a wasteful number, since it uses less digits than its factorization.

13130224033311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18946932251 (or 18946932248 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13130224033311 its reverse (11333042203131), we get a palindrome (24463266236442).

The spelling of 13130224033311 in words is "thirteen trillion, one hundred thirty billion, two hundred twenty-four million, thirty-three thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 18946932227 56840796681 132628525589 170522390043 208416254497 397885576767 625248763491 1193656730301 1458913781479 1875746290473 4376741344437 13130224033311