Search a number
-
+
11331001332231 = 376597561108289
BaseRepresentation
bin1010010011100011010001…
…0011110011001000000111
31111010020021222001120000120
42210320310103303020013
52441121342320112411
640033220134513023
72246431530114540
oct244706423631007
944106258046016
1011331001332231
1136794a5942a39
121330035505773
1364267cc00419
142b25cdad94c7
15149b2a838106
hexa4e344f3207

11331001332231 has 32 divisors (see below), whose sum is σ = 17294935257600. Its totient is φ = 6464117882880.

The previous prime is 11331001332197. The next prime is 11331001332239. The reversal of 11331001332231 is 13223310013311.

It is not a de Polignac number, because 11331001332231 - 29 = 11331001331719 is a prime.

It is a super-2 number, since 2×113310013322312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331001332239) 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, 104582535 + ... + 104690823.

It is an arithmetic number, because the mean of its divisors is an integer number (540466726800).

Almost surely, 211331001332231 is an apocalyptic number.

11331001332231 is a deficient number, since it is larger than the sum of its proper divisors (5963933925369).

11331001332231 is a wasteful number, since it uses less digits than its factorization.

11331001332231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116519.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11331001332231 its reverse (13223310013311), we get a palindrome (24554311345542).

The spelling of 11331001332231 in words is "eleven trillion, three hundred thirty-one billion, one million, three hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 659 1977 4613 7561 13839 22683 52927 108289 158781 324867 758023 2274069 4982699 14948097 34878893 71362451 104636679 214087353 499537157 818773129 1498611471 2456319387 5731411903 17194235709 539571492011 1618714476033 3777000444077 11331001332231