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10001023133 is a prime number
BaseRepresentation
bin10010101000001101…
…11000000010011101
3221210222200121121012
421110012320002131
5130440230220013
64332220345005
7502556202563
oct112406700235
927728617535
1010001023133
114272353782
121b313a5165
13c34c8808a
146ac34ba33
153d80111a8
hex2541b809d

10001023133 has 2 divisors, whose sum is σ = 10001023134. Its totient is φ = 10001023132.

The previous prime is 10001023129. The next prime is 10001023147. The reversal of 10001023133 is 33132010001.

It is an a-pointer prime, because the next prime (10001023147) can be obtained adding 10001023133 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7183749049 + 2817274084 = 84757^2 + 53078^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001023133 - 22 = 10001023129 is a prime.

It is a super-2 number, since 2×100010231332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001023163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000511566 + 5000511567.

It is an arithmetic number, because the mean of its divisors is an integer number (5000511567).

Almost surely, 210001023133 is an apocalyptic number.

It is an amenable number.

10001023133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001023133 is an equidigital number, since it uses as much as digits as its factorization.

10001023133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10001023133 its reverse (33132010001), we get a palindrome (43133033134).

The spelling of 10001023133 in words is "ten billion, one million, twenty-three thousand, one hundred thirty-three".