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1038931746001 is a prime number
BaseRepresentation
bin11110001111001010010…
…10000101110011010001
310200022122221101000222121
433013211022011303101
5114010213011333001
62113140104534241
7135026461063462
oct17074512056321
93608587330877
101038931746001
11370676981996
12149428181381
1376c80c34036
14383dabbad69
151c0595886a1
hexf1e5285cd1

1038931746001 has 2 divisors, whose sum is σ = 1038931746002. Its totient is φ = 1038931746000.

The previous prime is 1038931745981. The next prime is 1038931746103. The reversal of 1038931746001 is 1006471398301.

1038931746001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 885895088400 + 153036657601 = 941220^2 + 391199^2 .

It is an emirp because it is prime and its reverse (1006471398301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1038931746001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1038931746301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 519465873000 + 519465873001.

It is an arithmetic number, because the mean of its divisors is an integer number (519465873001).

Almost surely, 21038931746001 is an apocalyptic number.

It is an amenable number.

1038931746001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038931746001 is an equidigital number, since it uses as much as digits as its factorization.

1038931746001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 1038931746001 in words is "one trillion, thirty-eight billion, nine hundred thirty-one million, seven hundred forty-six thousand, one".