Search a number
-
+
132303031322 = 271121915232699
BaseRepresentation
bin111101100110111100…
…0000000110000011010
3110122111102111100200012
41323031320000300122
54131424034000242
6140440145041522
712362410132250
oct1731570006032
9418442440605
10132303031322
1151122680700
12217840262a2
13c62606b667
1465912c65d0
153695133282
hex1ecde00c1a

132303031322 has 96 divisors (see below), whose sum is σ = 262688832000. Its totient is φ = 48783509280.

The previous prime is 132303031321. The next prime is 132303031331. The reversal of 132303031322 is 223130303231.

It is a super-3 number, since 3×1323030313223 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (132303031321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49017929 + ... + 49020627.

It is an arithmetic number, because the mean of its divisors is an integer number (2736342000).

Almost surely, 2132303031322 is an apocalyptic number.

132303031322 is a deficient number, since it is larger than the sum of its proper divisors (130385800678).

132303031322 is a wasteful number, since it uses less digits than its factorization.

132303031322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 132303031322 its reverse (223130303231), we get a palindrome (355433334553).

The spelling of 132303031322 in words is "one hundred thirty-two billion, three hundred three million, thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 38 77 121 133 154 209 242 266 418 847 1463 1523 1694 2299 2699 2926 3046 4598 5398 10661 16093 16753 18893 21322 28937 29689 32186 33506 37786 51281 57874 59378 102562 117271 184283 202559 207823 234542 318307 326579 358967 368566 405118 415646 564091 636614 653158 717934 1128182 1289981 2228149 2286053 2579962 3501377 3948637 4110577 4456298 4572106 6205001 7002754 7897274 8221154 12410002 24509639 28774039 43435007 45216347 49019278 57548078 78100963 86870014 90432694 156201926 316514429 497379817 546706741 633028858 859110593 994759634 1093413482 1718221186 3481658719 6013774151 6963317438 9450216523 12027548302 18900433046 66151515661 132303031322