Search a number
-
+
132215341002303 = 313103179863213067
BaseRepresentation
bin11110000011111111001000…
…011011110010111000111111
3122100010122220102221111010210
4132003333020123302320333
5114312204004244033203
61145110520020003503
736564146255424006
oct3603771033627077
9570118812844123
10132215341002303
1139145236170309
12129b4276230593
1358a0b1250a380
14249138435bc3d
15104435771c803
hex783fc86f2e3f

132215341002303 has 64 divisors (see below), whose sum is σ = 192986017136640. Its totient is φ = 80030003211648.

The previous prime is 132215341002293. The next prime is 132215341002313. The reversal of 132215341002303 is 303200143512231.

It is an interprime number because it is at equal distance from previous prime (132215341002293) and next prime (132215341002313).

It is not a de Polignac number, because 132215341002303 - 24 = 132215341002287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132215341002313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620427576 + ... + 620640642.

It is an arithmetic number, because the mean of its divisors is an integer number (3015406517760).

Almost surely, 2132215341002303 is an apocalyptic number.

132215341002303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132215341002303 is a deficient number, since it is larger than the sum of its proper divisors (60770676134337).

132215341002303 is a wasteful number, since it uses less digits than its factorization.

132215341002303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214228.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 132215341002303 its reverse (303200143512231), we get a palindrome (435415484514534).

The spelling of 132215341002303 in words is "one hundred thirty-two trillion, two hundred fifteen billion, three hundred forty-one million, two thousand, three hundred three".

Divisors: 1 3 13 39 103 179 309 537 863 1339 2327 2589 4017 6981 11219 18437 33657 55311 88889 154477 213067 239681 266667 463431 639201 719043 1155557 2008201 2769871 3466671 6024603 8309613 15911131 21945901 38138993 47733393 65837703 114416979 183876821 206844703 285296713 495806909 551630463 620534109 855890139 1487420727 2390398673 3928316279 7171196019 11784948837 18939312563 32913950959 51068111627 56817937689 98741852877 153204334881 246211063319 427881362467 738633189957 1283644087401 3390136948777 10170410846331 44071780334101 132215341002303