Search a number
-
+
133320102254241 = 37234729320043937
BaseRepresentation
bin11110010100000100000001…
…010101100001011010100001
3122111001021111011010220122220
4132110010001111201122201
5114433304032134113431
61151314224235421253
740040026263216360
oct3624040125413241
9574037434126586
10133320102254241
1139530813090361
1212b523b45b4829
135951054841186
1424cca27cd97d7
151062e661b4b96
hex7941015616a1

133320102254241 has 64 divisors (see below), whose sum is σ = 217236520747008. Its totient is φ = 71076759164928.

The previous prime is 133320102254063. The next prime is 133320102254249. The reversal of 133320102254241 is 142452201023331.

It is a happy number.

It is not a de Polignac number, because 133320102254241 - 213 = 133320102246049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133320102254249) 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, 3370576 + ... + 16673361.

It is an arithmetic number, because the mean of its divisors is an integer number (3394320636672).

Almost surely, 2133320102254241 is an apocalyptic number.

It is an amenable number.

133320102254241 is a deficient number, since it is larger than the sum of its proper divisors (83916418492767).

133320102254241 is a wasteful number, since it uses less digits than its factorization.

133320102254241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20044310.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 133320102254241 its reverse (142452201023331), we get a palindrome (275772303277572).

The spelling of 133320102254241 in words is "one hundred thirty-three trillion, three hundred twenty billion, one hundred two million, two hundred fifty-four thousand, two hundred forty-one".

Divisors: 1 3 7 21 23 47 69 141 161 293 329 483 879 987 1081 2051 3243 6153 6739 7567 13771 20217 22701 41313 47173 96397 141519 289191 316733 950199 2217131 6651393 20043937 60131811 140307559 420922677 461010551 942065039 1383031653 2826195117 3227073857 5872873541 6594455273 9681221571 17618620623 19783365819 21667495897 41110114787 65002487691 123330344361 135076091443 151672471279 276025056427 405228274329 455017413837 828075169281 945532640101 1932175394989 2836597920303 5796526184967 6348576297821 19045728893463 44440034084747 133320102254241