Search a number
-
+
132213120404223 = 31729223887451937
BaseRepresentation
bin11110000011111101000100…
…000100111000101011111111
3122100010110011200111102020110
4132003331010010320223333
5114312134432310413343
61145105511412521103
736564040242565065
oct3603750404705377
9570113150442213
10132213120404223
11391442a6752091
12129b3956620193
1358a084a446301
14249121347c035
1510442777d2833
hex783f44138aff

132213120404223 has 64 divisors (see below), whose sum is σ = 194175125544960. Its totient is φ = 79647407357952.

The previous prime is 132213120404159. The next prime is 132213120404263. The reversal of 132213120404223 is 322404021312231.

It is a happy number.

It is not a de Polignac number, because 132213120404223 - 26 = 132213120404159 is a prime.

It is a super-3 number, since 3×1322131204042233 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213120404263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292321711 + ... + 292773647.

It is an arithmetic number, because the mean of its divisors is an integer number (3033986336640).

Almost surely, 2132213120404223 is an apocalyptic number.

132213120404223 is a deficient number, since it is larger than the sum of its proper divisors (61962005140737).

132213120404223 is a wasteful number, since it uses less digits than its factorization.

132213120404223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453096.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 132213120404223 its reverse (322404021312231), we get a palindrome (454617141716454).

The spelling of 132213120404223 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred twenty million, four hundred four thousand, two hundred twenty-three".

Divisors: 1 3 17 29 51 87 223 493 669 887 1479 2661 3791 6467 11373 15079 19401 25723 45237 77169 109939 197801 329817 437291 451937 593403 1311873 1355811 3362617 5736229 7682929 10087851 13106173 17208687 23048787 39318519 97515893 100781951 222804941 292547679 302345853 400868119 668414823 1202604357 1713293167 2922676579 5139879501 6814758023 8768029737 11625175451 20444274069 34875526353 49685501843 89393590537 149056505529 197627982667 268180771611 592883948001 1519691039129 2592414125573 4559073117387 7777242376719 44071040134741 132213120404223