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312302040203213 is a prime number
BaseRepresentation
bin100011100000010010111110…
…0001010110011111111001101
31111221202210011010221210001122
41013000211330022303333031
5311413224034243000323
63024113324320050325
7122532035456042324
oct10700457412637715
91457683133853048
10312302040203213
1190566607aa7485
122b03a2894639a5
1310534c57505828
1457196dc4b90bb
152618a5d0e2ec8
hex11c097c2b3fcd

312302040203213 has 2 divisors, whose sum is σ = 312302040203214. Its totient is φ = 312302040203212.

The previous prime is 312302040203203. The next prime is 312302040203243.

It is a happy number.

312302040203213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241426553940649 + 70875486262564 = 15537907^2 + 8418758^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312302040203213 - 212 = 312302040199117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312302040203203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156151020101606 + 156151020101607.

It is an arithmetic number, because the mean of its divisors is an integer number (156151020101607).

Almost surely, 2312302040203213 is an apocalyptic number.

It is an amenable number.

312302040203213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312302040203213 is an equidigital number, since it uses as much as digits as its factorization.

312302040203213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 312302040203213 in words is "three hundred twelve trillion, three hundred two billion, forty million, two hundred three thousand, two hundred thirteen".