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3121000000109 is a prime number
BaseRepresentation
bin101101011010101010000…
…110001010101001101101
3102001100211212010011012122
4231122222012022221231
5402113302000000414
610345433445242325
7441325201200515
oct55325206125155
912040755104178
103121000000109
11aa3677154772
12424a547033a5
13198402c544c4
14ab0b2d8a845
15562b73cab8e
hex2d6aa18aa6d

3121000000109 has 2 divisors, whose sum is σ = 3121000000110. Its totient is φ = 3121000000108.

The previous prime is 3121000000103. The next prime is 3121000000147. The reversal of 3121000000109 is 9010000001213.

It is a happy number.

3121000000109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2141685902500 + 979314097609 = 1463450^2 + 989603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3121000000109 is a prime.

It is a super-3 number, since 3×31210000001093 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121000000103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560500000054 + 1560500000055.

It is an arithmetic number, because the mean of its divisors is an integer number (1560500000055).

Almost surely, 23121000000109 is an apocalyptic number.

It is an amenable number.

3121000000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121000000109 is an equidigital number, since it uses as much as digits as its factorization.

3121000000109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 3121000000109 in words is "three trillion, one hundred twenty-one billion, one hundred nine", and thus it is an aban number.