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3001133101 is a prime number
BaseRepresentation
bin1011001011100001…
…1010100000101101
321202011011100122211
42302320122200231
522121242224401
61213444410421
7134241132121
oct26270324055
97664140584
103001133101
11130007479a
126b90a6a11
1338a9c0205
1420681d581
15128719951
hexb2e1a82d

3001133101 has 2 divisors, whose sum is σ = 3001133102. Its totient is φ = 3001133100.

The previous prime is 3001133071. The next prime is 3001133123. The reversal of 3001133101 is 1013311003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2803702500 + 197430601 = 52950^2 + 14051^2 .

It is a cyclic number.

It is not a de Polignac number, because 3001133101 - 231 = 853649453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3001133501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500566550 + 1500566551.

It is an arithmetic number, because the mean of its divisors is an integer number (1500566551).

Almost surely, 23001133101 is an apocalyptic number.

It is an amenable number.

3001133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001133101 is an equidigital number, since it uses as much as digits as its factorization.

3001133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 3001133101 is about 54782.5985236188. The cubic root of 3001133101 is about 1442.4311268325.

Adding to 3001133101 its reverse (1013311003), we get a palindrome (4014444104).

The spelling of 3001133101 in words is "three billion, one million, one hundred thirty-three thousand, one hundred one".