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132320443505031 = 33149499165739779
BaseRepresentation
bin11110000101100001000001…
…000010000001100110000111
3122100111201012012211211021000
4132011201001002001212013
5114320414232014130111
61145231101135224343
736604556641104525
oct3605410102014607
9570451165754230
10132320443505031
113918586a854211
1212a107089780b3
1358aa9c21873a2
1424964b4d23315
151046e598a9c56
hex785841081987

132320443505031 has 64 divisors (see below), whose sum is σ = 197865720000000. Its totient is φ = 87391026199296.

The previous prime is 132320443505027. The next prime is 132320443505039. The reversal of 132320443505031 is 130505344023231.

132320443505031 is a `hidden beast` number, since 1 + 3 + 23 + 204 + 4 + 350 + 50 + 31 = 666.

It is not a de Polignac number, because 132320443505031 - 22 = 132320443505027 is a prime.

It is a super-2 number, since 2×1323204435050312 (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 (132320443505039) 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 63 ways as a sum of consecutive naturals, for example, 3326369500 + ... + 3326409278.

It is an arithmetic number, because the mean of its divisors is an integer number (3091651875000).

Almost surely, 2132320443505031 is an apocalyptic number.

132320443505031 is a deficient number, since it is larger than the sum of its proper divisors (65545276494969).

132320443505031 is a wasteful number, since it uses less digits than its factorization.

132320443505031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42093 (or 42087 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 132320443505031 its reverse (130505344023231), we get a palindrome (262825787528262).

The spelling of 132320443505031 in words is "one hundred thirty-two trillion, three hundred twenty billion, four hundred forty-three million, five hundred five thousand, thirty-one".

Divisors: 1 3 9 27 149 447 499 1341 1497 1657 4023 4491 4971 13473 14913 39779 44739 74351 119337 223053 246893 358011 669159 740679 826843 1074033 2007477 2222037 2480529 5927071 6666111 7441587 17781213 19849721 22324761 53343639 59549163 65913803 123199607 160030917 178647489 197741409 369598821 535942467 593224227 1108796463 1779672681 2957608429 3326389389 8872825287 9821156647 26618475861 29463469941 32890987697 79855427583 88390409823 98672963091 265171229469 296018889273 888056667819 4900757166853 14702271500559 44106814501677 132320443505031