Search a number
-
+
1011122993 is a prime number
BaseRepresentation
bin111100010001001…
…000001100110001
32121110121100222202
4330101020030301
54032321413433
6244155512545
734025255306
oct7421101461
92543540882
101011122993
11479830741
12242758755
13131632c3a
14984050ad
155db7bee8
hex3c448331

1011122993 has 2 divisors, whose sum is σ = 1011122994. Its totient is φ = 1011122992.

The previous prime is 1011122989. The next prime is 1011123023. The reversal of 1011122993 is 3992211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 748131904 + 262991089 = 27352^2 + 16217^2 .

It is an emirp because it is prime and its reverse (3992211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011122993 - 22 = 1011122989 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011122933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505561496 + 505561497.

It is an arithmetic number, because the mean of its divisors is an integer number (505561497).

Almost surely, 21011122993 is an apocalyptic number.

It is an amenable number.

1011122993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122993 is an equidigital number, since it uses as much as digits as its factorization.

1011122993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 1011122993 is about 31798.1602140753. The cubic root of 1011122993 is about 1003.6940018811.

The spelling of 1011122993 in words is "one billion, eleven million, one hundred twenty-two thousand, nine hundred ninety-three".