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101213223029 is a prime number
BaseRepresentation
bin101111001000011000…
…1110011100001110101
3100200020201112110100222
41132100301303201311
53124241041114104
6114255142344125
710212105125612
oct1362061634165
9320221473328
10101213223029
1139a19253566
121774812b045
13970cc837a9
144c82233509
1529759d81be
hex1790c73875

101213223029 has 2 divisors, whose sum is σ = 101213223030. Its totient is φ = 101213223028.

The previous prime is 101213222993. The next prime is 101213223047. The reversal of 101213223029 is 920322312101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74639332804 + 26573890225 = 273202^2 + 163015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101213223029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101213222989 and 101213223007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101213222029) 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, 50606611514 + 50606611515.

It is an arithmetic number, because the mean of its divisors is an integer number (50606611515).

Almost surely, 2101213223029 is an apocalyptic number.

It is an amenable number.

101213223029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101213223029 is an equidigital number, since it uses as much as digits as its factorization.

101213223029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 101213223029 in words is "one hundred one billion, two hundred thirteen million, two hundred twenty-three thousand, twenty-nine".