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133202441324121 = 31337597523207971
BaseRepresentation
bin11110010010010110011100…
…001100101100011001011001
3122110122000210011100100211020
4132102112130030230121121
5114424342044434332441
61151144205021353053
740025362445630601
oct3622263414543131
9573560704310736
10133202441324121
1139495924602044
1212b33638108789
135942c2312b330
1424c70654b1c01
15105ed7b74be66
hex79259c32c659

133202441324121 has 64 divisors (see below), whose sum is σ = 199791279959040. Its totient is φ = 78392724238080.

The previous prime is 133202441324107. The next prime is 133202441324131. The reversal of 133202441324121 is 121423144202331.

It is not a de Polignac number, because 133202441324121 - 210 = 133202441323097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133202441324131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640381666 + ... + 640589636.

It is an arithmetic number, because the mean of its divisors is an integer number (3121738749360).

Almost surely, 2133202441324121 is an apocalyptic number.

It is an amenable number.

133202441324121 is a deficient number, since it is larger than the sum of its proper divisors (66588838634919).

133202441324121 is a wasteful number, since it uses less digits than its factorization.

133202441324121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215606.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 133202441324121 its reverse (121423144202331), we get a palindrome (254625585526452).

The spelling of 133202441324121 in words is "one hundred thirty-three trillion, two hundred two billion, four hundred forty-one million, three hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 13 37 39 59 111 177 481 767 1443 2183 2301 6549 7523 22569 28379 85137 97799 207971 278351 293397 443857 623913 835053 1331571 2703623 3618563 5770141 7694927 8110869 10855689 12270289 16422709 17310423 23084781 36810867 49268127 100034051 159513757 213495217 300102153 454000693 478541271 640485651 1362002079 1564565833 4693697499 5902009009 17706027027 20339355829 57888935821 61018067487 92309384147 173666807463 276928152441 752556165673 1200021993911 2257668497019 3415447213439 3600065981733 10246341640317 44400813774707 133202441324121