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1021331137 is a prime number
BaseRepresentation
bin111100111000000…
…100011011000001
32122011210222221011
4330320010123001
54042430044022
6245202400521
734211112541
oct7470043301
92564728834
101021331137
11484573222
12246060141
13133798468
1499901321
155e9e6977
hex3ce046c1

1021331137 has 2 divisors, whose sum is σ = 1021331138. Its totient is φ = 1021331136.

The previous prime is 1021331131. The next prime is 1021331167. The reversal of 1021331137 is 7311331201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 522076801 + 499254336 = 22849^2 + 22344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1021331137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021331131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510665568 + 510665569.

It is an arithmetic number, because the mean of its divisors is an integer number (510665569).

Almost surely, 21021331137 is an apocalyptic number.

It is an amenable number.

1021331137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021331137 is an equidigital number, since it uses as much as digits as its factorization.

1021331137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 1021331137 is about 31958.2718087196. The cubic root of 1021331137 is about 1007.0604122596.

Adding to 1021331137 its reverse (7311331201), we get a palindrome (8332662338).

The spelling of 1021331137 in words is "one billion, twenty-one million, three hundred thirty-one thousand, one hundred thirty-seven".