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1004034101129 is a prime number
BaseRepresentation
bin11101001110001010001…
…10001000111110001001
310112222120212021222212222
432213011012020332021
5112422230212214004
62045125155143425
7132352621021553
oct16470506107611
93488525258788
101004034101129
11357899090874
12142708ba4b75
13738abc99b27
143684a1164d3
151b1b59c57be
hexe9c5188f89

1004034101129 has 2 divisors, whose sum is σ = 1004034101130. Its totient is φ = 1004034101128.

The previous prime is 1004034101099. The next prime is 1004034101183. The reversal of 1004034101129 is 9211014304001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 914848251529 + 89185849600 = 956477^2 + 298640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004034101129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004034101098 and 1004034101107.

It is not a weakly prime, because it can be changed into another prime (1004034107129) 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, 502017050564 + 502017050565.

It is an arithmetic number, because the mean of its divisors is an integer number (502017050565).

Almost surely, 21004034101129 is an apocalyptic number.

It is an amenable number.

1004034101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004034101129 is an equidigital number, since it uses as much as digits as its factorization.

1004034101129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 1004034101129 in words is "one trillion, four billion, thirty-four million, one hundred one thousand, one hundred twenty-nine".