Search a number
-
+
1011137731 is a prime number
BaseRepresentation
bin111100010001001…
…011110011000011
32121110122010012121
4330101023303003
54032322401411
6244200105111
734025346262
oct7421136303
92543563177
101011137731
1147984081a
12242765197
13131639866
149840a5d9
155db81571
hex3c44bcc3

1011137731 has 2 divisors, whose sum is σ = 1011137732. Its totient is φ = 1011137730.

The previous prime is 1011137723. The next prime is 1011137741. The reversal of 1011137731 is 1377311101.

1011137731 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 is an emirp because it is prime and its reverse (1377311101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011137731 - 23 = 1011137723 is a prime.

It is a super-2 number, since 2×10111377312 = 2044799022103656722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011137696 and 1011137705.

It is not a weakly prime, because it can be changed into another prime (1011137741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505568865 + 505568866.

It is an arithmetic number, because the mean of its divisors is an integer number (505568866).

Almost surely, 21011137731 is an apocalyptic number.

1011137731 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011137731 is an equidigital number, since it uses as much as digits as its factorization.

1011137731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 25.

The square root of 1011137731 is about 31798.3919561980. The cubic root of 1011137731 is about 1003.6988784294.

Adding to 1011137731 its reverse (1377311101), we get a palindrome (2388448832).

The spelling of 1011137731 in words is "one billion, eleven million, one hundred thirty-seven thousand, seven hundred thirty-one".