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10201242131029 is a prime number
BaseRepresentation
bin1001010001110010100101…
…1010011101101001010101
31100010020012002210201202201
42110130221122131221111
52314114120441143104
633410215210204501
72102005201261465
oct224345132355125
940106162721681
1010201242131029
113283360267694
12118909b423731
1358cc85900671
14273a58189ba5
1512a5574760a4
hex9472969da55

10201242131029 has 2 divisors, whose sum is σ = 10201242131030. Its totient is φ = 10201242131028.

The previous prime is 10201242131021. The next prime is 10201242131033. The reversal of 10201242131029 is 92013124210201.

10201242131029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9915634188100 + 285607942929 = 3148910^2 + 534423^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201242131029 - 23 = 10201242131021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201242130988 and 10201242131006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201242131021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100621065514 + 5100621065515.

It is an arithmetic number, because the mean of its divisors is an integer number (5100621065515).

Almost surely, 210201242131029 is an apocalyptic number.

It is an amenable number.

10201242131029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201242131029 is an equidigital number, since it uses as much as digits as its factorization.

10201242131029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10201242131029 in words is "ten trillion, two hundred one billion, two hundred forty-two million, one hundred thirty-one thousand, twenty-nine".