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11331113023232 = 28532560932611
BaseRepresentation
bin1010010011100011101011…
…1101110111011100000000
31111010020120202020001021022
42210320322331313130000
52441122104413220412
640033235204445012
72246434354351352
oct244707275673400
944106522201238
1011331113023232
11367955299a052
1213300669a9768
1364269a0a8382
142b26008910d2
15149b3554ba72
hexa4e3af77700

11331113023232 has 72 divisors (see below), whose sum is σ = 23046324472080. Its totient is φ = 5558271713280.

The previous prime is 11331113023231. The next prime is 11331113023273. The reversal of 11331113023232 is 23232031113311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331113023231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347446607 + ... + 347479217.

It is an arithmetic number, because the mean of its divisors is an integer number (320087839890).

Almost surely, 211331113023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331113023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523162236040).

11331113023232 is an abundant number, since it is smaller than the sum of its proper divisors (11715211448848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331113023232 is an equidigital number, since it uses as much as digits as its factorization.

11331113023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58289 (or 58275 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 11331113023232 its reverse (23232031113311), we get a palindrome (34563144136543).

The spelling of 11331113023232 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirteen million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 25609 32611 51218 65222 102436 130444 204872 260888 409744 521776 819488 1043552 1357277 1638976 1728383 2087104 2714554 3277952 3456766 4174208 5429108 6555904 6913532 8348416 10858216 13827064 21716432 27654128 43432864 55308256 86865728 110616512 173731456 221233024 347462912 442466048 835135099 1670270198 3340540396 6681080792 13362161584 26724323168 44262160247 53448646336 88524320494 106897292672 177048640988 213794585344 354097281976 708194563952 1416389127904 2832778255808 5665556511616 11331113023232