Search a number
-
+
13002324313011 = 3117942111846713
BaseRepresentation
bin1011110100110101011011…
…1011000000001110110011
31201001000021100002212022120
42331031112323000032303
53201012230011004021
643353104010405323
72511246501054225
oct275152673001663
951030240085276
1013002324313011
114163289117540
12155bb30130843
13734163393b67
1432d45c9c2415
1517834875c2c6
hexbd356ec03b3

13002324313011 has 32 divisors (see below), whose sum is σ = 19197363102720. Its totient is φ = 7761965702400.

The previous prime is 13002324313007. The next prime is 13002324313031. The reversal of 13002324313011 is 11031342320031.

It is not a de Polignac number, because 13002324313011 - 22 = 13002324313007 is a prime.

It is a super-2 number, since 2×130023243130112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13002324313031) 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, 4825810 + ... + 7020903.

It is an arithmetic number, because the mean of its divisors is an integer number (599917596960).

Almost surely, 213002324313011 is an apocalyptic number.

13002324313011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13002324313011 is a deficient number, since it is larger than the sum of its proper divisors (6195038789709).

13002324313011 is a wasteful number, since it uses less digits than its factorization.

13002324313011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847227.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13002324313011 its reverse (11031342320031), we get a palindrome (24033666633042).

The spelling of 13002324313011 in words is "thirteen trillion, two billion, three hundred twenty-four million, three hundred thirteen thousand, eleven".

Divisors: 1 3 11 33 79 237 421 869 1263 2607 4631 13893 33259 99777 365849 1097547 11846713 35540139 130313843 390941529 935890327 2807670981 4987466173 10294793597 14962398519 30884380791 54862127903 164586383709 394009827667 1182029483001 4334108104337 13002324313011