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331133212511093 is a prime number
BaseRepresentation
bin100101101001010011111010…
…1100000010100101101110101
31121102110000200220220111012102
41023102213311200110231311
5321400241304400323333
63132132255304231445
7126514404460451246
oct11322476540245565
91542400626814172
10331133212511093
1196566896923743
123117ba02a6b585
131129c960413755
145baad0c218ccd
152843804c82ae8
hex12d29f5814b75

331133212511093 has 2 divisors, whose sum is σ = 331133212511094. Its totient is φ = 331133212511092.

The previous prime is 331133212511041. The next prime is 331133212511131. The reversal of 331133212511093 is 390115212331133.

It is an a-pointer prime, because the next prime (331133212511131) can be obtained adding 331133212511093 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314826007895569 + 16307204615524 = 17743337^2 + 4038218^2 .

It is a cyclic number.

It is not a de Polignac number, because 331133212511093 - 244 = 313541026466677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331133212511393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566606255546 + 165566606255547.

It is an arithmetic number, because the mean of its divisors is an integer number (165566606255547).

Almost surely, 2331133212511093 is an apocalyptic number.

It is an amenable number.

331133212511093 is a deficient number, since it is larger than the sum of its proper divisors (1).

331133212511093 is an equidigital number, since it uses as much as digits as its factorization.

331133212511093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 38.

The spelling of 331133212511093 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, two hundred twelve million, five hundred eleven thousand, ninety-three".