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10012331131289 is a prime number
BaseRepresentation
bin1001000110110010110101…
…1100001100000110011001
31022110011120120102121220122
42101230231130030012121
52303020223232200124
633143333524003025
72052236620260344
oct221545534140631
938404516377818
1010012331131289
1132102299a2513
121158559530475
1357820aa9aa06
14268856b0545b
1512569c7c175e
hex91b2d70c199

10012331131289 has 2 divisors, whose sum is σ = 10012331131290. Its totient is φ = 10012331131288.

The previous prime is 10012331131223. The next prime is 10012331131337. The reversal of 10012331131289 is 98213113321001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5163892656400 + 4848438474889 = 2272420^2 + 2201917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10012331131289 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012331131189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006165565644 + 5006165565645.

It is an arithmetic number, because the mean of its divisors is an integer number (5006165565645).

Almost surely, 210012331131289 is an apocalyptic number.

It is an amenable number.

10012331131289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012331131289 is an equidigital number, since it uses as much as digits as its factorization.

10012331131289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 10012331131289 in words is "ten trillion, twelve billion, three hundred thirty-one million, one hundred thirty-one thousand, two hundred eighty-nine".