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101144201213369 is a prime number
BaseRepresentation
bin10110111111110101111000…
…001011110011010110111001
3111021010021212021202120211002
4112333311320023303112321
5101224121311002311434
6555041000553414345
730206266411034126
oct2677657013632671
9437107767676732
10101144201213369
112a256018840a76
12b41651040a3b5
134458b1b4b5832
141ad959681774d
15ba5ed59c657e
hex5bfd782f35b9

101144201213369 has 2 divisors, whose sum is σ = 101144201213370. Its totient is φ = 101144201213368.

The previous prime is 101144201213359. The next prime is 101144201213401. The reversal of 101144201213369 is 963312102441101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75169246800400 + 25974954412969 = 8670020^2 + 5096563^2 .

It is a cyclic number.

It is not a de Polignac number, because 101144201213369 - 212 = 101144201209273 is a prime.

It is a super-2 number, since 2×1011442012133692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101144201213359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50572100606684 + 50572100606685.

It is an arithmetic number, because the mean of its divisors is an integer number (50572100606685).

Almost surely, 2101144201213369 is an apocalyptic number.

It is an amenable number.

101144201213369 is a deficient number, since it is larger than the sum of its proper divisors (1).

101144201213369 is an equidigital number, since it uses as much as digits as its factorization.

101144201213369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 101144201213369 in words is "one hundred one trillion, one hundred forty-four billion, two hundred one million, two hundred thirteen thousand, three hundred sixty-nine".