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132422383224231 = 37313722319999901
BaseRepresentation
bin11110000110111111111101…
…000111001100010110100111
3122100212110022120102010000120
4132012333331013030112213
5114324102020101133411
61145350000353213023
736615126050321202
oct3606777507142647
9570773276363016
10132422383224231
11392150210a4031
1212a28418261173
1358b74b97c6469
14249b3c582a939
15104992404b106
hex786ffd1cc5a7

132422383224231 has 64 divisors (see below), whose sum is σ = 181205649408000. Its totient is φ = 85997346969600.

The previous prime is 132422383224181. The next prime is 132422383224233.

132422383224231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132422383224231 - 233 = 132413793289639 is a prime.

It is a super-2 number, since 2×1324223832242312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132422383224233) 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, 13374642381 + ... + 13374652281.

It is an arithmetic number, because the mean of its divisors is an integer number (2831338272000).

Almost surely, 2132422383224231 is an apocalyptic number.

132422383224231 is a deficient number, since it is larger than the sum of its proper divisors (48783266183769).

132422383224231 is a wasteful number, since it uses less digits than its factorization.

132422383224231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336.

The product of its digits is 663552, while the sum is 42.

The spelling of 132422383224231 in words is "one hundred thirty-two trillion, four hundred twenty-two billion, three hundred eighty-three million, two hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 73 137 219 223 411 669 1999 5997 9901 10001 16279 29703 30003 30551 48837 91653 145927 273863 437781 445777 722773 821589 1337331 1356437 2168319 2207923 2230223 4069311 6623769 6690669 19792099 19991999 32541721 59376297 59975997 61071449 97625163 99019901 161178379 183214347 297059703 302485451 483535137 907456353 1444823227 2711517563 4334469681 4413638077 4458215777 8134552689 13240914231 13374647331 22081437923 66244313769 197940782099 322195579621 593822346297 604668416549 966586738863 1814005249647 44140794408077 132422383224231