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3121010041 is a prime number
BaseRepresentation
bin1011101000000110…
…1101010101111001
322001111201201220111
42322001231111321
522342434310131
61233410024321
7140225101432
oct27201552571
98044651814
103121010041
111361802046
127312780a1
133a97a3106
14218706489
15133ee8ab1
hexba06d579

3121010041 has 2 divisors, whose sum is σ = 3121010042. Its totient is φ = 3121010040.

The previous prime is 3121010023. The next prime is 3121010117. The reversal of 3121010041 is 1400101213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3090804025 + 30206016 = 55595^2 + 5496^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121010041 - 215 = 3120977273 is a prime.

It is not a weakly prime, because it can be changed into another prime (3121010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560505020 + 1560505021.

It is an arithmetic number, because the mean of its divisors is an integer number (1560505021).

Almost surely, 23121010041 is an apocalyptic number.

It is an amenable number.

3121010041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121010041 is an equidigital number, since it uses as much as digits as its factorization.

3121010041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 3121010041 is about 55866.0007607489. Note that the first 3 decimals coincide. The cubic root of 3121010041 is about 1461.3863795215.

Adding to 3121010041 its reverse (1400101213), we get a palindrome (4521111254).

The spelling of 3121010041 in words is "three billion, one hundred twenty-one million, ten thousand, forty-one".