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1010101133 = 412600893
BaseRepresentation
bin111100001101001…
…110101110001101
32121101200110021002
4330031032232031
54032041214013
6244121550045
734013501156
oct7415165615
92541613232
101010101133
114791a2a28
12242345325
13131365aa2
149821a92d
155da29358
hex3c34eb8d

1010101133 has 6 divisors (see below), whose sum is σ = 1035340362. Its totient is φ = 985462880.

The previous prime is 1010101109. The next prime is 1010101177. The reversal of 1010101133 is 3311010101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 21501769 + 988599364 = 4637^2 + 31442^2 .

It is not a de Polignac number, because 1010101133 - 26 = 1010101069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298766 + ... + 302127.

It is an arithmetic number, because the mean of its divisors is an integer number (172556727).

Almost surely, 21010101133 is an apocalyptic number.

It is an amenable number.

1010101133 is a deficient number, since it is larger than the sum of its proper divisors (25239229).

1010101133 is an frugal number, since it uses more digits than its factorization.

1010101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600975 (or 600934 counting only the distinct ones).

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

The square root of 1010101133 is about 31782.0882416496. The cubic root of 1010101133 is about 1003.3557705407.

Adding to 1010101133 its reverse (3311010101), we get a palindrome (4321111234).

The spelling of 1010101133 in words is "one billion, ten million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 41 1681 600893 24636613 1010101133