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321012321401441 is a prime number
BaseRepresentation
bin100100011111101011000000…
…1011000101011101001100001
31120002121110220121201120020102
41020333112001120223221201
5314033431213234321231
63054423005151152145
7124421242402451135
oct11077260130535141
91502543817646212
10321012321401441
119331461972574a
1230006408b15655
1310a1744159ac67
14593b11769d3c5
15271a401a16acb
hex123f58162ba61

321012321401441 has 2 divisors, whose sum is σ = 321012321401442. Its totient is φ = 321012321401440.

The previous prime is 321012321401417. The next prime is 321012321401503. The reversal of 321012321401441 is 144104123210123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296758469369041 + 24253852032400 = 17226679^2 + 4924820^2 .

It is a cyclic number.

It is not a de Polignac number, because 321012321401441 - 214 = 321012321385057 is a prime.

It is not a weakly prime, because it can be changed into another prime (321012321401641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160506160700720 + 160506160700721.

It is an arithmetic number, because the mean of its divisors is an integer number (160506160700721).

Almost surely, 2321012321401441 is an apocalyptic number.

It is an amenable number.

321012321401441 is a deficient number, since it is larger than the sum of its proper divisors (1).

321012321401441 is an equidigital number, since it uses as much as digits as its factorization.

321012321401441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 321012321401441 its reverse (144104123210123), we get a palindrome (465116444611564).

The spelling of 321012321401441 in words is "three hundred twenty-one trillion, twelve billion, three hundred twenty-one million, four hundred one thousand, four hundred forty-one".