Search a number
-
+
13330230003220 = 225131729310293137
BaseRepresentation
bin1100000111111010111110…
…0111111100011000010100
31202012100122122111211111111
43001332233213330120110
53221400302340100340
644203453443344404
72544035345331154
oct301765747743024
952170578454444
1013330230003220
11427a356355929
1215b35a3082104
1375905c70c9a0
14341287d64764
15181b3ac53aea
hexc1faf9fc614

13330230003220 has 96 divisors (see below), whose sum is σ = 32029116342048. Its totient is φ = 4616595013632.

The previous prime is 13330230003157. The next prime is 13330230003301. The reversal of 13330230003220 is 2230003203331.

It can be written as a sum of positive squares in 16 ways, for example, as 87122967556 + 13243107035664 = 295166^2 + 3639108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13330230003191 and 13330230003200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3851509 + ... + 6441628.

It is an arithmetic number, because the mean of its divisors is an integer number (333636628563).

Almost surely, 213330230003220 is an apocalyptic number.

13330230003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330230003220 is an abundant number, since it is smaller than the sum of its proper divisors (18698886338828).

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

13330230003220 is a wasteful number, since it uses less digits than its factorization.

13330230003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293469 (or 10293467 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 13330230003220 its reverse (2230003203331), we get a palindrome (15560233206551).

The spelling of 13330230003220 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 293 340 442 586 884 1105 1172 1465 2210 2930 3809 4420 4981 5860 7618 9962 15236 19045 19924 24905 38090 49810 64753 76180 99620 129506 259012 323765 647530 1295060 10293137 20586274 41172548 51465685 102931370 133810781 174983329 205862740 267621562 349966658 535243124 669053905 699933316 874916645 1338107810 1749833290 2274783277 2676215620 3015889141 3499666580 4549566554 6031778282 9099133108 11373916385 12063556564 15079445705 22747832770 30158891410 39206558833 45495665540 51270115397 60317782820 78413117666 102540230794 156826235332 196032794165 205080461588 256350576985 392065588330 512701153970 666511500161 784131176660 1025402307940 1333023000322 2666046000644 3332557500805 6665115001610 13330230003220