Search a number
-
+
133001331201 = 3237399403397
BaseRepresentation
bin111101111011101111…
…1110100001000000001
3110201022002110200000200
41323313133310020001
54134341320044301
6141033332035413
712415616443044
oct1736737641001
9421262420020
10133001331201
1151450869742
1221939a62b69
13c707933c5b
146619d3ac5b
1536d65bbc86
hex1ef77f4201

133001331201 has 12 divisors (see below), whose sum is σ = 197305278612. Its totient is φ = 86271133536.

The previous prime is 133001331161. The next prime is 133001331241. The reversal of 133001331201 is 102133100331.

It is a happy number.

133001331201 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 331 + 2 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (133001331161) and next prime (133001331241).

It can be written as a sum of positive squares in 2 ways, for example, as 100347034176 + 32654297025 = 316776^2 + 180705^2 .

It is not a de Polignac number, because 133001331201 - 29 = 133001330689 is a prime.

It is a super-2 number, since 2×1330013312012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133001331241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199701366 + ... + 199702031.

It is an arithmetic number, because the mean of its divisors is an integer number (16442106551).

Almost surely, 2133001331201 is an apocalyptic number.

It is an amenable number.

133001331201 is a deficient number, since it is larger than the sum of its proper divisors (64303947411).

133001331201 is a wasteful number, since it uses less digits than its factorization.

133001331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399403440 (or 399403437 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133001331201 its reverse (102133100331), we get a palindrome (235134431532).

The spelling of 133001331201 in words is "one hundred thirty-three billion, one million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 37 111 333 399403397 1198210191 3594630573 14777925689 44333777067 133001331201