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331131002212201 is a prime number
BaseRepresentation
bin100101101001010010111000…
…1110000101100111101101001
31121102102210222212211200010111
41023102211301300230331221
5321400222243031242301
63132131252110014321
7126514265631306202
oct11322456160547551
91542383885750114
10331131002212201
11965659621aa444
123117b4a67a73a1
131129c69a517499
145baab7c85a5a9
152843725bce551
hex12d2971c2cf69

331131002212201 has 2 divisors, whose sum is σ = 331131002212202. Its totient is φ = 331131002212200.

The previous prime is 331131002212189. The next prime is 331131002212259. The reversal of 331131002212201 is 102212200131133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324420436305625 + 6710565906576 = 18011675^2 + 2590476^2 .

It is a cyclic number.

It is not a de Polignac number, because 331131002212201 - 211 = 331131002210153 is a prime.

It is not a weakly prime, because it can be changed into another prime (331131005212201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165565501106100 + 165565501106101.

It is an arithmetic number, because the mean of its divisors is an integer number (165565501106101).

Almost surely, 2331131002212201 is an apocalyptic number.

It is an amenable number.

331131002212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

331131002212201 is an equidigital number, since it uses as much as digits as its factorization.

331131002212201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 331131002212201 its reverse (102212200131133), we get a palindrome (433343202343334).

The spelling of 331131002212201 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, two million, two hundred twelve thousand, two hundred one".