Search a number
-
+
1003131221 is a prime number
BaseRepresentation
bin111011110010101…
…001000101010101
32120220120100100012
4323302221011111
54023300144341
6243312330005
733600321551
oct7362510525
92526510305
101003131221
11475272374
1223bb43905
1312ca95491
1497324861
155d0ee0eb
hex3bca9155

1003131221 has 2 divisors, whose sum is σ = 1003131222. Its totient is φ = 1003131220.

The previous prime is 1003131209. The next prime is 1003131229. The reversal of 1003131221 is 1221313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 863536996 + 139594225 = 29386^2 + 11815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003131221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003131196 and 1003131205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003131229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501565610 + 501565611.

It is an arithmetic number, because the mean of its divisors is an integer number (501565611).

Almost surely, 21003131221 is an apocalyptic number.

It is an amenable number.

1003131221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003131221 is an equidigital number, since it uses as much as digits as its factorization.

1003131221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1003131221 is about 31672.2468574618. The cubic root of 1003131221 is about 1001.0426528306.

Adding to 1003131221 its reverse (1221313001), we get a palindrome (2224444222).

The spelling of 1003131221 in words is "one billion, three million, one hundred thirty-one thousand, two hundred twenty-one".