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133033003301 = 11127197483389
BaseRepresentation
bin111101111100101100…
…0101000100100100101
3110201101022001202222102
41323321120220210211
54134422422101201
6141040422541445
712416452604402
oct1737130504445
9421338052872
10133033003301
1151467731430
1221948597885
13c711373043
1466202232a9
1536d927626b
hex1ef9628925

133033003301 has 16 divisors (see below), whose sum is σ = 147012433920. Its totient is φ = 119377500480.

The previous prime is 133033003291. The next prime is 133033003303. The reversal of 133033003301 is 103300330331.

It is a cyclic number.

It is not a de Polignac number, because 133033003301 - 214 = 133032986917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133033003303) 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 15 ways as a sum of consecutive naturals, for example, 33515 + ... + 516903.

It is an arithmetic number, because the mean of its divisors is an integer number (9188277120).

Almost surely, 2133033003301 is an apocalyptic number.

133033003301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133033003301 is a deficient number, since it is larger than the sum of its proper divisors (13979430619).

133033003301 is a wasteful number, since it uses less digits than its factorization.

133033003301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483724.

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 133033003301 its reverse (103300330331), we get a palindrome (236333333632).

The spelling of 133033003301 in words is "one hundred thirty-three billion, thirty-three million, three thousand, three hundred one".

Divisors: 1 11 127 197 1397 2167 25019 275209 483389 5317279 61390403 95227633 675294433 1047503963 12093909391 133033003301