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312330211201 is a prime number
BaseRepresentation
bin1001000101110000101…
…01001100111110000001
31002212011211101122201001
410202320111030332001
520104123013224301
6355252120212001
731364555664061
oct4427025147601
91085154348631
10312330211201
11110505297498
125064690a001
13235b650b378
141118c9593a1
1581cee09c01
hex48b854cf81

312330211201 has 2 divisors, whose sum is σ = 312330211202. Its totient is φ = 312330211200.

The previous prime is 312330211199. The next prime is 312330211283. The reversal of 312330211201 is 102112033213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 280475100801 + 31855110400 = 529599^2 + 178480^2 .

It is a cyclic number.

It is not a de Polignac number, because 312330211201 - 21 = 312330211199 is a prime.

It is a super-2 number, since 2×3123302112012 (a number of 24 digits) contains 22 as substring.

Together with 312330211199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312330211601) 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, 156165105600 + 156165105601.

It is an arithmetic number, because the mean of its divisors is an integer number (156165105601).

Almost surely, 2312330211201 is an apocalyptic number.

It is an amenable number.

312330211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312330211201 is an equidigital number, since it uses as much as digits as its factorization.

312330211201 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 312330211201 its reverse (102112033213), we get a palindrome (414442244414).

The spelling of 312330211201 in words is "three hundred twelve billion, three hundred thirty million, two hundred eleven thousand, two hundred one".