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312211201033 is a prime number
BaseRepresentation
bin1001000101100010011…
…11001101110000001001
31002211212112110022110001
410202301033031300021
520103402031413113
6355232225323001
731361612264464
oct4426117156011
91084775408401
10312211201033
111104540a1386
1250612a96461
132359796cb54
141117ac1a2db
1581c474c7dd
hex48b13cdc09

312211201033 has 2 divisors, whose sum is σ = 312211201034. Its totient is φ = 312211201032.

The previous prime is 312211201019. The next prime is 312211201121. The reversal of 312211201033 is 330102112213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308744699904 + 3466501129 = 555648^2 + 58877^2 .

It is an emirp because it is prime and its reverse (330102112213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312211201033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312211201033.

It is not a weakly prime, because it can be changed into another prime (312211201013) 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, 156105600516 + 156105600517.

It is an arithmetic number, because the mean of its divisors is an integer number (156105600517).

Almost surely, 2312211201033 is an apocalyptic number.

It is an amenable number.

312211201033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312211201033 is an equidigital number, since it uses as much as digits as its factorization.

312211201033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312211201033 its reverse (330102112213), we get a palindrome (642313313246).

The spelling of 312211201033 in words is "three hundred twelve billion, two hundred eleven million, two hundred one thousand, thirty-three".