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101012301073 is a prime number
BaseRepresentation
bin101111000010011001…
…1010110010100010001
3100122201201110120021001
41132010303112110101
53123333122113243
6114223204102001
710204115251405
oct1360463262421
9318651416231
10101012301073
11399258a0962
12176b0994901
1396aa465968
144c63691105
15296304aa4d
hex1784cd6511

101012301073 has 2 divisors, whose sum is σ = 101012301074. Its totient is φ = 101012301072.

The previous prime is 101012301017. The next prime is 101012301107. The reversal of 101012301073 is 370103210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67105866304 + 33906434769 = 259048^2 + 184137^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012301073 - 213 = 101012292881 is a prime.

It is a super-4 number, since 4×1010123010734 (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101012301073.

It is not a weakly prime, because it can be changed into another prime (101012301373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506150536 + 50506150537.

It is an arithmetic number, because the mean of its divisors is an integer number (50506150537).

Almost surely, 2101012301073 is an apocalyptic number.

It is an amenable number.

101012301073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012301073 is an equidigital number, since it uses as much as digits as its factorization.

101012301073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 101012301073 its reverse (370103210101), we get a palindrome (471115511174).

The spelling of 101012301073 in words is "one hundred one billion, twelve million, three hundred one thousand, seventy-three".