Search a number
-
+
13302434421132 = 2231929203333667
BaseRepresentation
bin1100000110010011011011…
…1000001101100110001100
31202002200220112012222000020
43001210312320031212030
53220421341202434012
644143015355502140
72542032503641533
oct301446670154614
952080815188006
1013302434421132
11426959248968a
1215aa126457950
1375654cc650ac
1433dbac5c731a
1518106091aa8c
hexc1936e0d98c

13302434421132 has 72 divisors (see below), whose sum is σ = 32762284341696. Its totient is φ = 4200299719776.

The previous prime is 13302434421121. The next prime is 13302434421137. The reversal of 13302434421132 is 23112443420331.

It is a super-2 number, since 2×133024344211322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13302434421093 and 13302434421102.

It is not an unprimeable number, because it can be changed into a prime (13302434421137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39700563 + ... + 40034229.

It is an arithmetic number, because the mean of its divisors is an integer number (455031726968).

Almost surely, 213302434421132 is an apocalyptic number.

13302434421132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302434421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381142170848).

13302434421132 is an abundant number, since it is smaller than the sum of its proper divisors (19459849920564).

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

13302434421132 is a wasteful number, since it uses less digits than its factorization.

13302434421132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342915 (or 342894 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 13302434421132 its reverse (23112443420331), we get a palindrome (36414877841463).

It can be divided in two parts, 13302 and 434421132, that added together give a palindrome (434434434).

The spelling of 13302434421132 in words is "thirteen trillion, three hundred two billion, four hundred thirty-four million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332 9203 18406 27609 36812 55218 110436 174857 333667 349714 524571 667334 699428 1001001 1049142 1334668 2002002 2098284 3322283 4004004 6339673 6644566 9966849 12679346 13289132 19019019 19933698 25358692 38038038 39867396 76076076 120453787 240907574 361361361 481815148 722722722 1445445444 3070737401 6141474802 9212212203 12282949604 18424424406 36848848812 58344010619 116688021238 175032031857 233376042476 350064063714 700128127428 1108536201761 2217072403522 3325608605283 4434144807044 6651217210566 13302434421132