Search a number
-
+
132022220121223 = 193113919121140013
BaseRepresentation
bin11110000001001011010001…
…100010000110010010000111
3122022110012102111221020202121
4132001023101202012102013
5114301023001322334343
61144442100505150411
736544201455135205
oct3601132142062207
9568405374836677
10132022220121223
113908034449aa63
121298295a48b407
13588884644c183
142485ca3b2c075
15103e303185aed
hex7812d1886487

132022220121223 has 64 divisors (see below), whose sum is σ = 145934195097600. Its totient is φ = 118969600176000.

The previous prime is 132022220121217. The next prime is 132022220121229. The reversal of 132022220121223 is 322121022220231.

It is an interprime number because it is at equal distance from previous prime (132022220121217) and next prime (132022220121229).

It is not a de Polignac number, because 132022220121223 - 225 = 132022186566791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132022220121229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3299463165 + ... + 3299503177.

It is an arithmetic number, because the mean of its divisors is an integer number (2280221798400).

Almost surely, 2132022220121223 is an apocalyptic number.

132022220121223 is a deficient number, since it is larger than the sum of its proper divisors (13911974976377).

132022220121223 is a wasteful number, since it uses less digits than its factorization.

132022220121223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40604.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 132022220121223 its reverse (322121022220231), we get a palindrome (454143242341454).

The spelling of 132022220121223 in words is "one hundred thirty-two trillion, twenty-two billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 19 31 139 191 211 589 2641 3629 4009 4309 5921 6541 26549 29329 40013 40301 81871 112499 124279 504431 557251 760247 765719 823019 909199 1240403 1249331 5561807 5601839 7642483 8442743 15637361 17274781 23567657 23737289 105674333 106434941 145207177 160412117 172416017 173657009 236916973 261725033 1062305137 1173541277 1612563913 3275904323 3299483171 4501422487 4972775627 20183797603 22297284263 30638714347 32931459247 36379779587 49989481303 224146383907 625697725693 691215812153 949800144757 4258781294233 6948537901117 132022220121223