Search a number
-
+
1010221021 is a prime number
BaseRepresentation
bin111100001101101…
…011111111011101
32121101220112201101
4330031223333131
54032104033041
6244124313101
734014510535
oct7415537735
92541815641
101010221021
11479275007
122423a2791
131313a8524
149824c4c5
155da4eb31
hex3c36bfdd

1010221021 has 2 divisors, whose sum is σ = 1010221022. Its totient is φ = 1010221020.

The previous prime is 1010221001. The next prime is 1010221033. The reversal of 1010221021 is 1201220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 899340121 + 110880900 = 29989^2 + 10530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010221021 is a prime.

It is a super-2 number, since 2×10102210212 = 2041093022540564882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010220989 and 1010221007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010221001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505110510 + 505110511.

It is an arithmetic number, because the mean of its divisors is an integer number (505110511).

Almost surely, 21010221021 is an apocalyptic number.

It is an amenable number.

1010221021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010221021 is an equidigital number, since it uses as much as digits as its factorization.

1010221021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1010221021 is about 31783.9742795013. The cubic root of 1010221021 is about 1003.3954647700.

Adding to 1010221021 its reverse (1201220101), we get a palindrome (2211441122).

The spelling of 1010221021 in words is "one billion, ten million, two hundred twenty-one thousand, twenty-one".