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13000232133 = 34741954721
BaseRepresentation
bin11000001101101111…
…11100110011000101
31020120000020012220000
430012313330303011
5203111024412013
65550000031513
7640105102260
oct140667746305
936500205800
1013000232133
1155713238a9
122629902599
1312c2453565
148b47c9cd7
1551149a973
hex306dfccc5

13000232133 has 40 divisors (see below), whose sum is σ = 22247776320. Its totient is φ = 7410839040.

The previous prime is 13000232107. The next prime is 13000232159. The reversal of 13000232133 is 33123200031.

13000232133 is a `hidden beast` number, since 1 + 300 + 0 + 232 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (13000232107) and next prime (13000232159).

It is not a de Polignac number, because 13000232133 - 213 = 13000223941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000232173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210213 + ... + 264933.

It is an arithmetic number, because the mean of its divisors is an integer number (556194408).

Almost surely, 213000232133 is an apocalyptic number.

It is an amenable number.

13000232133 is a deficient number, since it is larger than the sum of its proper divisors (9247544187).

13000232133 is an equidigital number, since it uses as much as digits as its factorization.

13000232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55159 (or 55150 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13000232133 its reverse (33123200031), we get a palindrome (46123432164).

The spelling of 13000232133 in words is "thirteen billion, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 81 189 419 567 1257 2933 3771 8799 11313 26397 33939 54721 79191 164163 237573 383047 492489 1149141 1477467 3447423 4432401 10342269 22928099 31026807 68784297 160496693 206352891 481490079 619058673 1444470237 1857176019 4333410711 13000232133