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1001133101 is a prime number
BaseRepresentation
bin111011101011000…
…001010000101101
32120202210211102202
4323223001100231
54022242224401
6243201431245
733544330253
oct7353012055
92522724382
101001133101
11474128131
1223b33b525
1312c545b67
1496d645d3
155cd5706b
hex3bac142d

1001133101 has 2 divisors, whose sum is σ = 1001133102. Its totient is φ = 1001133100.

The previous prime is 1001133097. The next prime is 1001133139. The reversal of 1001133101 is 1013311001.

It is a happy number.

1001133101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 734464201 + 266668900 = 27101^2 + 16330^2 .

It is an emirp because it is prime and its reverse (1013311001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001133101 - 22 = 1001133097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001133701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500566550 + 500566551.

It is an arithmetic number, because the mean of its divisors is an integer number (500566551).

Almost surely, 21001133101 is an apocalyptic number.

It is an amenable number.

1001133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001133101 is an equidigital number, since it uses as much as digits as its factorization.

1001133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1001133101 is about 31640.6874293211. The cubic root of 1001133101 is about 1000.3775577655.

Adding to 1001133101 its reverse (1013311001), we get a palindrome (2014444102).

The spelling of 1001133101 in words is "one billion, one million, one hundred thirty-three thousand, one hundred one".