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312013223021 is a prime number
BaseRepresentation
bin1001000101001010110…
…11111111010001101101
31002211100201220222200002
410202211123333101231
520103000341114041
6355200434114045
731353656431223
oct4424533772155
91084321828602
10312013223021
1111036236a595
125057871b925
1323565942cb6
141115c802b13
1581b219259b
hex48a56ff46d

312013223021 has 2 divisors, whose sum is σ = 312013223022. Its totient is φ = 312013223020.

The previous prime is 312013222981. The next prime is 312013223029. The reversal of 312013223021 is 120322310213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182319606121 + 129693616900 = 426989^2 + 360130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312013223021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312013222984 and 312013223002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312013223029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156006611510 + 156006611511.

It is an arithmetic number, because the mean of its divisors is an integer number (156006611511).

Almost surely, 2312013223021 is an apocalyptic number.

It is an amenable number.

312013223021 is a deficient number, since it is larger than the sum of its proper divisors (1).

312013223021 is an equidigital number, since it uses as much as digits as its factorization.

312013223021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312013223021 its reverse (120322310213), we get a palindrome (432335533234).

The spelling of 312013223021 in words is "three hundred twelve billion, thirteen million, two hundred twenty-three thousand, twenty-one".