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191305250329 is a prime number
BaseRepresentation
bin1011001000101010101…
…1100111011000011001
3200021210101120122012211
42302022223213120121
511113243121002304
6223515011235121
716551502540414
oct2621253473031
9607711518184
10191305250329
117414a910076
12310ab8a8aa1
1315069b8769b
14938b448b7b
154e99e92204
hex2c8aae7619

191305250329 has 2 divisors, whose sum is σ = 191305250330. Its totient is φ = 191305250328.

The previous prime is 191305250261. The next prime is 191305250333. The reversal of 191305250329 is 923052503191.

191305250329 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., 119821207104 + 71484043225 = 346152^2 + 267365^2 .

It is a cyclic number.

It is not a de Polignac number, because 191305250329 - 213 = 191305242137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 191305250291 and 191305250300.

It is not a weakly prime, because it can be changed into another prime (191305250399) 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, 95652625164 + 95652625165.

It is an arithmetic number, because the mean of its divisors is an integer number (95652625165).

Almost surely, 2191305250329 is an apocalyptic number.

It is an amenable number.

191305250329 is a deficient number, since it is larger than the sum of its proper divisors (1).

191305250329 is an equidigital number, since it uses as much as digits as its factorization.

191305250329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 40.

The spelling of 191305250329 in words is "one hundred ninety-one billion, three hundred five million, two hundred fifty thousand, three hundred twenty-nine".