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312001030021 is a prime number
BaseRepresentation
bin1001000101001001011…
…01011110011110000101
31002211022212222112000111
410202210231132132011
520102434230430041
6355155320513021
731353450666142
oct4424455363605
91084285875014
10312001030021
111103564a182a
125057461b771
13235632641c5
141115ad4b3c9
1581b1084981
hex48a4b5e785

312001030021 has 2 divisors, whose sum is σ = 312001030022. Its totient is φ = 312001030020.

The previous prime is 312001029983. The next prime is 312001030043. The reversal of 312001030021 is 120030100213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309231639396 + 2769390625 = 556086^2 + 52625^2 .

It is a cyclic number.

It is not a de Polignac number, because 312001030021 - 217 = 312000898949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312001029983 and 312001030010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312001030091) 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, 156000515010 + 156000515011.

It is an arithmetic number, because the mean of its divisors is an integer number (156000515011).

Almost surely, 2312001030021 is an apocalyptic number.

It is an amenable number.

312001030021 is a deficient number, since it is larger than the sum of its proper divisors (1).

312001030021 is an equidigital number, since it uses as much as digits as its factorization.

312001030021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 312001030021 its reverse (120030100213), we get a palindrome (432031130234).

The spelling of 312001030021 in words is "three hundred twelve billion, one million, thirty thousand, twenty-one".