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133003101 = 3721183991
BaseRepresentation
bin1111110110101…
…11011101011101
3100021021020221210
413323113131131
5233022044401
621110415033
73203336100
oct773273535
9307236853
10133003101
1169093220
1238661479
132172a67a
1413942737
15ba234d6
hex7ed775d

133003101 has 48 divisors (see below), whose sum is σ = 227985408. Its totient is φ = 68191200.

The previous prime is 133003099. The next prime is 133003111. The reversal of 133003101 is 101300331.

It is not a de Polignac number, because 133003101 - 21 = 133003099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133716 + ... + 134706.

It is an arithmetic number, because the mean of its divisors is an integer number (4749696).

Almost surely, 2133003101 is an apocalyptic number.

133003101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133003101 is a deficient number, since it is larger than the sum of its proper divisors (94982307).

133003101 is a wasteful number, since it uses less digits than its factorization.

133003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 133003101 is about 11532.6970392879. The cubic root of 133003101 is about 510.4508393266.

Adding to 133003101 its reverse (101300331), we get a palindrome (234303432).

The spelling of 133003101 in words is "one hundred thirty-three million, three thousand, one hundred one".

Divisors: 1 3 7 11 21 33 49 77 83 147 231 249 539 581 913 991 1617 1743 2739 2973 4067 6391 6937 10901 12201 19173 20811 32703 44737 48559 76307 82253 134211 145677 228921 246759 534149 575771 904783 1602447 1727313 2714349 4030397 6333481 12091191 19000443 44334367 133003101