Search a number
-
+
133132213333201 = 1021508572563933
BaseRepresentation
bin11110010001010101000010…
…010010001010110011010001
3122110101022111211222210012111
4132101111002102022303101
5114422214233103130301
61151052032224025321
740020325232563435
oct3621250222126321
9573338454883174
10133132213333201
113946906674a025
1212b21ab8a62241
1359394106a9014
1424c38c24ac9c5
15105d11b103551
hex79154248acd1

133132213333201 has 8 divisors (see below), whose sum is σ = 133265279590184. Its totient is φ = 132999152307840.

The previous prime is 133132213333039. The next prime is 133132213333241. The reversal of 133132213333201 is 102333312231331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 394716910225 + 132737496422976 = 628265^2 + 11521176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133132213333201 - 225 = 133132179778769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133132213333241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50643031 + ... + 53206963.

It is an arithmetic number, because the mean of its divisors is an integer number (16658159948773).

Almost surely, 2133132213333201 is an apocalyptic number.

It is an amenable number.

133132213333201 is a deficient number, since it is larger than the sum of its proper divisors (133066256983).

133132213333201 is a wasteful number, since it uses less digits than its factorization.

133132213333201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615811.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 133132213333201 its reverse (102333312231331), we get a palindrome (235465525564532).

The spelling of 133132213333201 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, two hundred thirteen million, three hundred thirty-three thousand, two hundred one".

Divisors: 1 1021 50857 2563933 51924997 2617775593 130393940581 133132213333201