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11232033213102 = 2313473457886271
BaseRepresentation
bin1010001101110010100101…
…0110011000101010101110
31110202202211201002012012220
42203130221112120222232
52433011201000304402
635515531432340210
72236326153021222
oct243345126305256
943682751065186
1011232033213102
113640529a26249
121314a15244666
1363623a110ca0
142ab8c1b24782
15147286ecadbc
hexa3729598aae

11232033213102 has 64 divisors (see below), whose sum is σ = 24713971236864. Its totient is φ = 3381495828480.

The previous prime is 11232033213091. The next prime is 11232033213109. The reversal of 11232033213102 is 20131233023211.

11232033213102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232033213109) 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, 12230227 + ... + 13116497.

It is an arithmetic number, because the mean of its divisors is an integer number (386155800576).

Almost surely, 211232033213102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232033213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356985618432).

11232033213102 is an abundant number, since it is smaller than the sum of its proper divisors (13481938023762).

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

11232033213102 is a wasteful number, since it uses less digits than its factorization.

11232033213102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889793.

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

Adding to 11232033213102 its reverse (20131233023211), we get a palindrome (31363266236313).

The spelling of 11232033213102 in words is "eleven trillion, two hundred thirty-two billion, thirty-three million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1222 1833 3457 3666 6914 10371 20742 44941 89882 134823 162479 269646 324958 487437 886271 974874 1772542 2112227 2658813 4224454 5317626 6336681 11521523 12673362 23043046 34564569 41654737 69129138 83309474 124964211 249928422 541511581 1083023162 1624534743 3063838847 3249069486 6127677694 9191516541 18383033082 39829905011 79659810022 119489715033 144000425809 238979430066 288000851618 432001277427 864002554854 1872005535517 3744011071034 5616016606551 11232033213102