Search a number
-
+
133515003141 = 321311031034591
BaseRepresentation
bin111110001011000011…
…1010100010100000101
3110202121220000220110100
41330112013110110011
54141414320100031
6141200321514313
712434424541632
oct1742607242405
9422556026410
10133515003141
1151694814003
1221a61aa2999
13c78a195050
146668251189
153716735de6
hex1f161d4505

133515003141 has 24 divisors (see below), whose sum is σ = 207878501376. Its totient is φ = 82088508960.

The previous prime is 133515003137. The next prime is 133515003173. The reversal of 133515003141 is 141300515331.

It is a happy number.

133515003141 is a `hidden beast` number, since 1 + 3 + 3 + 515 + 0 + 0 + 3 + 141 = 666.

It is not a de Polignac number, because 133515003141 - 22 = 133515003137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133515003191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388245 + ... + 646346.

It is an arithmetic number, because the mean of its divisors is an integer number (8661604224).

Almost surely, 2133515003141 is an apocalyptic number.

It is an amenable number.

133515003141 is a deficient number, since it is larger than the sum of its proper divisors (74363498235).

133515003141 is a wasteful number, since it uses less digits than its factorization.

133515003141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035713 (or 1035710 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 133515003141 its reverse (141300515331), we get a palindrome (274815518472).

The spelling of 133515003141 in words is "one hundred thirty-three billion, five hundred fifteen million, three thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 1103 3309 9927 14339 43017 129051 1034591 3103773 9311319 13449683 40349049 121047147 1141153873 3423461619 10270384857 14835000349 44505001047 133515003141