Search a number
-
+
312423241129 is a prime number
BaseRepresentation
bin1001000101111011110…
…00000101010110101001
31002212102022110001202221
410202331320011112221
520104320322204004
6355305242154041
731400065506256
oct4427570052651
91085368401687
10312423241129
1111055285822a
1250671ab2921
13235cc88146c
141119b05442d
1581d8184354
hex48bde055a9

312423241129 has 2 divisors, whose sum is σ = 312423241130. Its totient is φ = 312423241128.

The previous prime is 312423241099. The next prime is 312423241159. The reversal of 312423241129 is 921142324213.

It is a balanced prime because it is at equal distance from previous prime (312423241099) and next prime (312423241159).

It can be written as a sum of positive squares in only one way, i.e., 245976321600 + 66446919529 = 495960^2 + 257773^2 .

It is a cyclic number.

It is not a de Polignac number, because 312423241129 - 27 = 312423241001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312423241094 and 312423241103.

It is not a weakly prime, because it can be changed into another prime (312423241159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156211620564 + 156211620565.

It is an arithmetic number, because the mean of its divisors is an integer number (156211620565).

Almost surely, 2312423241129 is an apocalyptic number.

It is an amenable number.

312423241129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312423241129 is an equidigital number, since it uses as much as digits as its factorization.

312423241129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 34.

The spelling of 312423241129 in words is "three hundred twelve billion, four hundred twenty-three million, two hundred forty-one thousand, one hundred twenty-nine".