Search a number
-
+
1001129873 is a prime number
BaseRepresentation
bin111011101011000…
…000011110010001
32120202210200000012
4323223000132101
54022242123443
6243201404305
733544314662
oct7353003621
92522720005
101001129873
11474125767
1223b339695
1312c544553
1496d63369
155cd56118
hex3bac0791

1001129873 has 2 divisors, whose sum is σ = 1001129874. Its totient is φ = 1001129872.

The previous prime is 1001129869. The next prime is 1001129887. The reversal of 1001129873 is 3789211001.

1001129873 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., 540469504 + 460660369 = 23248^2 + 21463^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001129873 - 22 = 1001129869 is a prime.

It is a super-2 number, since 2×10011298732 = 2004522045225992258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001129803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500564936 + 500564937.

It is an arithmetic number, because the mean of its divisors is an integer number (500564937).

Almost surely, 21001129873 is an apocalyptic number.

It is an amenable number.

1001129873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001129873 is an equidigital number, since it uses as much as digits as its factorization.

1001129873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1001129873 is about 31640.6364190103. The cubic root of 1001129873 is about 1000.3764825764.

The spelling of 1001129873 in words is "one billion, one million, one hundred twenty-nine thousand, eight hundred seventy-three".