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1007041010861 is a prime number
BaseRepresentation
bin11101010011110000101…
…00100101110010101101
310120021100102022211121002
432221320110211302231
5112444404444321421
62050343411450045
7132520262233334
oct16517024456255
93507312284532
101007041010861
113590a1440636
12143207bb6925
1373c6ac30462
1436a535dad1b
151b2de981b0b
hexea78525cad

1007041010861 has 2 divisors, whose sum is σ = 1007041010862. Its totient is φ = 1007041010860.

The previous prime is 1007041010819. The next prime is 1007041010867. The reversal of 1007041010861 is 1680101407001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000788155236 + 6252855625 = 1000394^2 + 79075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1007041010861 is a prime.

It is a super-2 number, since 2×10070410108612 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007041010867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503520505430 + 503520505431.

It is an arithmetic number, because the mean of its divisors is an integer number (503520505431).

Almost surely, 21007041010861 is an apocalyptic number.

It is an amenable number.

1007041010861 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007041010861 is an equidigital number, since it uses as much as digits as its factorization.

1007041010861 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

Adding to 1007041010861 its reverse (1680101407001), we get a palindrome (2687142417862).

The spelling of 1007041010861 in words is "one trillion, seven billion, forty-one million, ten thousand, eight hundred sixty-one".