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1021314313109 is a prime number
BaseRepresentation
bin11101101110010110001…
…00111010101110010101
310121122012011001201101002
432313023010322232111
5113213122431004414
62101104010113045
7133534056265406
oct16671304725625
93548164051332
101021314313109
113641563388a2
12145b3011b785
137540405022c
14376090d79ad
151b877a9d4de
hexedcb13ab95

1021314313109 has 2 divisors, whose sum is σ = 1021314313110. Its totient is φ = 1021314313108.

The previous prime is 1021314313099. The next prime is 1021314313147. The reversal of 1021314313109 is 9013134131201.

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., 581086044100 + 440228269009 = 762290^2 + 663497^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021314313109 - 212 = 1021314309013 is a prime.

It is a super-2 number, since 2×10213143131092 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021314313709) 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, 510657156554 + 510657156555.

It is an arithmetic number, because the mean of its divisors is an integer number (510657156555).

Almost surely, 21021314313109 is an apocalyptic number.

It is an amenable number.

1021314313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021314313109 is an equidigital number, since it uses as much as digits as its factorization.

1021314313109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 1021314313109 in words is "one trillion, twenty-one billion, three hundred fourteen million, three hundred thirteen thousand, one hundred nine".