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133212132112103 = 112313948712776091
BaseRepresentation
bin11110010010011111011101…
…110100000111011011100111
3122110122221210112021101210122
4132102133131310013123213
5114430021421310041403
61151152450400512155
740026154550155022
oct3622373564073347
9573587715241718
10133212132112103
1139499a47820530
1212b354a161b65b
135943b08a439c5
1424c77045441b9
1510602473cb838
hex7927ddd076e7

133212132112103 has 64 divisors (see below), whose sum is σ = 153190239068160. Its totient is φ = 114658433366400.

The previous prime is 133212132112097. The next prime is 133212132112127. The reversal of 133212132112103 is 301211231212331.

It is not a de Polignac number, because 133212132112103 - 28 = 133212132111847 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133212132112183) 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, 21870319088 + ... + 21870325178.

It is an arithmetic number, because the mean of its divisors is an integer number (2393597485440).

Almost surely, 2133212132112103 is an apocalyptic number.

133212132112103 is a deficient number, since it is larger than the sum of its proper divisors (19978106956057).

133212132112103 is a wasteful number, since it uses less digits than its factorization.

133212132112103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 133212132112103 its reverse (301211231212331), we get a palindrome (434423363324434).

The spelling of 133212132112103 in words is "one hundred thirty-three trillion, two hundred twelve billion, one hundred thirty-two million, one hundred twelve thousand, one hundred three".

Divisors: 1 11 23 139 253 487 1277 1529 3197 5357 6091 11201 14047 29371 35167 67001 67693 123211 140093 177503 323081 621899 744623 846649 1541023 1556939 1952533 2966317 4082569 6840889 7778207 9313139 14303677 17126329 19472927 32629487 44908259 68225291 85560277 86443961 157340447 178898761 214202197 412318063 750478201 950883571 1081170773 1967886371 1988211103 3787986809 4535498693 9483315449 11892878503 21870322133 24866927779 41667854899 87123696607 104316469939 273536205569 526530166451 958360662677 5791831830961 12110193828373 133212132112103