Search a number
-
+
12213132110240 = 255292632140541
BaseRepresentation
bin1011000110111001011101…
…1001101010100110100000
31121020120020011202002221012
42301232113121222212200
53100044443310011430
641550345130520052
72400240541034135
oct261562731524640
947216204662835
1012213132110240
113989618753876
121452ba1296028
136a7902587899
14303193bb858c
15162a591e0695
hexb1b9766a9a0

12213132110240 has 48 divisors (see below), whose sum is σ = 29848473746280. Its totient is φ = 4716795847680.

The previous prime is 12213132110239. The next prime is 12213132110261. The reversal of 12213132110240 is 4201123131221.

12213132110240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6629533244944 + 5583598865296 = 2574788^2 + 2362964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1316065631 + ... + 1316074910.

Almost surely, 212213132110240 is an apocalyptic number.

12213132110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213132110240 is an abundant number, since it is smaller than the sum of its proper divisors (17635341636040).

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

12213132110240 is a wasteful number, since it uses less digits than its factorization.

12213132110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632140585 (or 2632140577 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 12213132110240 its reverse (4201123131221), we get a palindrome (16414255241461).

The spelling of 12213132110240 in words is "twelve trillion, two hundred thirteen billion, one hundred thirty-two million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 2632140541 5264281082 10528562164 13160702705 21057124328 26321405410 42114248656 52642810820 76332075689 84228497312 105285621640 152664151378 210571243280 305328302756 381660378445 421142486560 610656605512 763320756890 1221313211024 1526641513780 2442626422048 3053283027560 6106566055120 12213132110240