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391122020221193 = 73137132421295333
BaseRepresentation
bin101100011101110010011000…
…1000101000100000100001001
31220021211220022002000202210002
41120323210301011010010021
5402231120344134034233
63503502550421132345
7145245430162631132
oct13073446105040411
91807756262022702
10391122020221193
11103694a0a980788
1237a4a09925a0b5
1313a3185727c7a1
146c8259a308c89
153033eabe616e8
hex163b931144109

391122020221193 has 16 divisors (see below), whose sum is σ = 399378237896976. Its totient is φ = 382944198804480.

The previous prime is 391122020221189. The next prime is 391122020221217.

391122020221193 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 9462348144649 + 381659672076544 = 3076093^2 + 19536112^2 .

It is a cyclic number.

It is not a de Polignac number, because 391122020221193 - 22 = 391122020221189 is a prime.

It is not an unprimeable number, because it can be changed into a prime (391122020221123) 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 in 15 ways as a sum of consecutive naturals, for example, 1324194755 + ... + 1324490087.

It is an arithmetic number, because the mean of its divisors is an integer number (24961139868561).

Almost surely, 2391122020221193 is an apocalyptic number.

It is an amenable number.

391122020221193 is a deficient number, since it is larger than the sum of its proper divisors (8256217675783).

391122020221193 is a wasteful number, since it uses less digits than its factorization.

391122020221193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427964.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 391122020221193 in words is "three hundred ninety-one trillion, one hundred twenty-two billion, twenty million, two hundred twenty-one thousand, one hundred ninety-three".

Divisors: 1 73 137 10001 132421 295333 9666733 18141677 21559309 40460621 1324342421 2953625333 39108291193 2854905257089 5357835893441 391122020221193