Search a number
-
+
13022331303432 = 2331161979688227
BaseRepresentation
bin1011110101111111111101…
…1011100111011000001000
31201002220220122210021121210
42331133333123213120020
53201324213303202212
643410213145533120
72512555336504323
oct275377733473010
951086818707553
1013022331303432
114170815590570
1215639944a41a0
13736001348529
143303d9ba77ba
15178b19e0953c
hexbd7ff6e7608

13022331303432 has 64 divisors (see below), whose sum is σ = 35572824979200. Its totient is φ = 3939785893440.

The previous prime is 13022331303407. The next prime is 13022331303437. The reversal of 13022331303432 is 23430313322031.

It is a super-2 number, since 2×130223313034322 (a number of 27 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 13022331303432.

It is not an unprimeable number, because it can be changed into a prime (13022331303437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39680698 + ... + 40007529.

It is an arithmetic number, because the mean of its divisors is an integer number (555825390300).

Almost surely, 213022331303432 is an apocalyptic number.

13022331303432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13022331303432 is an abundant number, since it is smaller than the sum of its proper divisors (22550493675768).

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

13022331303432 is a wasteful number, since it uses less digits than its factorization.

13022331303432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79688866 (or 79688862 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 13022331303432 its reverse (23430313322031), we get a palindrome (36452644625463).

The spelling of 13022331303432 in words is "thirteen trillion, twenty-two billion, three hundred thirty-one million, three hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 619 1238 1857 2476 3714 4952 6809 7428 13618 14856 20427 27236 40854 54472 81708 163416 79688227 159376454 239064681 318752908 478129362 637505816 876570497 956258724 1753140994 1912517448 2629711491 3506281988 5259422982 7012563976 10518845964 21037691928 49327012513 98654025026 147981037539 197308050052 295962075078 394616100104 542597137643 591924150156 1085194275286 1183848300312 1627791412929 2170388550572 3255582825858 4340777101144 6511165651716 13022331303432