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10332324431 = 11213192315031
BaseRepresentation
bin10011001111101101…
…01100001001001111
3222200002002110112122
421213312230021033
5132130033340211
64425133323155
7514021210562
oct114766541117
928602073478
1010332324431
114422367300
1220043364bb
13c887c5250
1470034c4d9
154071546db
hex267dac24f

10332324431 has 48 divisors (see below), whose sum is σ = 13435000320. Its totient is φ = 7856481600.

The previous prime is 10332324427. The next prime is 10332324451. The reversal of 10332324431 is 13442323301.

It is not a de Polignac number, because 10332324431 - 22 = 10332324427 is a prime.

It is a super-2 number, since 2×103323244312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10332324431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332324451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679886 + ... + 694916.

It is an arithmetic number, because the mean of its divisors is an integer number (279895840).

Almost surely, 210332324431 is an apocalyptic number.

10332324431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10332324431 is a deficient number, since it is larger than the sum of its proper divisors (3102675889).

10332324431 is a wasteful number, since it uses less digits than its factorization.

10332324431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15108 (or 15097 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 10332324431 its reverse (13442323301), we get a palindrome (23774647732).

The spelling of 10332324431 in words is "ten billion, three hundred thirty-two million, three hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 11 13 19 23 121 143 209 247 253 299 437 1573 2299 2717 2783 3289 4807 5681 15031 29887 36179 52877 62491 165341 195403 285589 345713 687401 1818751 2149433 3141479 3712657 3802843 4494269 6568547 23643763 34556269 40839227 41831273 49436959 72254017 85391111 449231497 543806549 794794187 939302221 10332324431