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1000331332141 is a prime number
BaseRepresentation
bin11101000111010000110…
…01001100101000101101
310112122000210212211201211
432203220121030220231
5112342134310112031
62043313524034421
7132162100012651
oct16435031145055
93478023784654
101000331332141
11356268a5a709
12141a54b32a11
137343bb16a6b
14365b8454a61
151b04a8b3bb1
hexe8e864ca2d

1000331332141 has 2 divisors, whose sum is σ = 1000331332142. Its totient is φ = 1000331332140.

The previous prime is 1000331332103. The next prime is 1000331332157. The reversal of 1000331332141 is 1412331330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 787283544100 + 213047788041 = 887290^2 + 461571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000331332141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000331332541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500165666070 + 500165666071.

It is an arithmetic number, because the mean of its divisors is an integer number (500165666071).

Almost surely, 21000331332141 is an apocalyptic number.

It is an amenable number.

1000331332141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000331332141 is an equidigital number, since it uses as much as digits as its factorization.

1000331332141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1000331332141 its reverse (1412331330001), we get a palindrome (2412662662142).

The spelling of 1000331332141 in words is "one trillion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred forty-one".