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100001330029 is a prime number
BaseRepresentation
bin101110100100010001…
…0110011001101101101
3100120010021010220201001
41131020202303031231
53114300320030104
6113535011320301
710140061165066
oct1351042631555
9316107126631
10100001330029
11394571643a7
121746a2b0091
139578b86c43
144ba92c956d
1529043edaa4
hex17488b336d

100001330029 has 2 divisors, whose sum is σ = 100001330030. Its totient is φ = 100001330028.

The previous prime is 100001330003. The next prime is 100001330057. The reversal of 100001330029 is 920033100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61542197929 + 38459132100 = 248077^2 + 196110^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001330029 - 29 = 100001329517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001329988 and 100001330015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001330629) 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, 50000665014 + 50000665015.

It is an arithmetic number, because the mean of its divisors is an integer number (50000665015).

Almost surely, 2100001330029 is an apocalyptic number.

It is an amenable number.

100001330029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001330029 is an equidigital number, since it uses as much as digits as its factorization.

100001330029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The spelling of 100001330029 in words is "one hundred billion, one million, three hundred thirty thousand, twenty-nine".