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1006013221 is a prime number
BaseRepresentation
bin111011111101101…
…000101100100101
32121002222202200221
4323331220230211
54030014410341
6243454204341
733633654103
oct7375505445
92532882627
101006013221
11476960694
12240ab36b1
131305641c5
1497874c73
155d4bced1
hex3bf68b25

1006013221 has 2 divisors, whose sum is σ = 1006013222. Its totient is φ = 1006013220.

The previous prime is 1006013213. The next prime is 1006013243. The reversal of 1006013221 is 1223106001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 931104196 + 74909025 = 30514^2 + 8655^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006013221 - 23 = 1006013213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006013195 and 1006013204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006013291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503006610 + 503006611.

It is an arithmetic number, because the mean of its divisors is an integer number (503006611).

Almost surely, 21006013221 is an apocalyptic number.

It is an amenable number.

1006013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006013221 is an equidigital number, since it uses as much as digits as its factorization.

1006013221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1006013221 is about 31717.7114716683. The cubic root of 1006013221 is about 1002.0004027207. Note that the first 3 decimals are identical.

Adding to 1006013221 its reverse (1223106001), we get a palindrome (2229119222).

The spelling of 1006013221 in words is "one billion, six million, thirteen thousand, two hundred twenty-one".