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3121130101 is a prime number
BaseRepresentation
bin1011101000001000…
…1010101001110101
322001111221211121011
42322002022221311
522343002130401
61233412352221
7140226111445
oct27202125165
98044854534
103121130101
111361884271
12731315671
133a981595b
14218738125
1513401e451
hexba08aa75

3121130101 has 2 divisors, whose sum is σ = 3121130102. Its totient is φ = 3121130100.

The previous prime is 3121130083. The next prime is 3121130123. The reversal of 3121130101 is 1010311213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3076920900 + 44209201 = 55470^2 + 6649^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121130101 - 211 = 3121128053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121130161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560565050 + 1560565051.

It is an arithmetic number, because the mean of its divisors is an integer number (1560565051).

Almost surely, 23121130101 is an apocalyptic number.

It is an amenable number.

3121130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121130101 is an equidigital number, since it uses as much as digits as its factorization.

3121130101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 3121130101 is about 55867.0752858963. The cubic root of 3121130101 is about 1461.4051183055.

Adding to 3121130101 its reverse (1010311213), we get a palindrome (4131441314).

The spelling of 3121130101 in words is "three billion, one hundred twenty-one million, one hundred thirty thousand, one hundred one".