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331203201321257 is a prime number
BaseRepresentation
bin100101101001110100100000…
…1001010011100100100101001
31121102200201100120012102111122
41023103221001022130210221
5321402413124014240012
63132224352235305025
7126522433040514416
oct11323510112344451
91542621316172448
10331203201321257
1196593541772711
1231191495bab175
13112a6435440aa5
145bb046b55b10d
15284554e3d2e72
hex12d3a4129c929

331203201321257 has 2 divisors, whose sum is σ = 331203201321258. Its totient is φ = 331203201321256.

The previous prime is 331203201321229. The next prime is 331203201321323. The reversal of 331203201321257 is 752123102302133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 282758316145561 + 48444885175696 = 16815419^2 + 6960236^2 .

It is a cyclic number.

It is not a de Polignac number, because 331203201321257 - 214 = 331203201304873 is a prime.

It is not a weakly prime, because it can be changed into another prime (331203201323257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165601600660628 + 165601600660629.

It is an arithmetic number, because the mean of its divisors is an integer number (165601600660629).

Almost surely, 2331203201321257 is an apocalyptic number.

It is an amenable number.

331203201321257 is a deficient number, since it is larger than the sum of its proper divisors (1).

331203201321257 is an equidigital number, since it uses as much as digits as its factorization.

331203201321257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 331203201321257 in words is "three hundred thirty-one trillion, two hundred three billion, two hundred one million, three hundred twenty-one thousand, two hundred fifty-seven".