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312222202133 = 9719841162229
BaseRepresentation
bin1001000101100011110…
…01001011100100010101
31002211220022011020010012
410202301321023210111
520103412340432013
6355233301210005
731362104633612
oct4426171134425
91084808136105
10312222202133
1111045a3256a6
1250616700905
132359a02228a
141117c481509
1581c56c21a8
hex48b1e4b915

312222202133 has 8 divisors (see below), whose sum is σ = 315458830680. Its totient is φ = 308985937920.

The previous prime is 312222202121. The next prime is 312222202241. The reversal of 312222202133 is 331202222213.

It can be written as a sum of positive squares in 4 ways, for example, as 36763077169 + 275459124964 = 191737^2 + 524842^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312222202133 - 224 = 312205424917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312222202099 and 312222202108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312222202333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1843463 + ... + 2005691.

It is an arithmetic number, because the mean of its divisors is an integer number (39432353835).

Almost surely, 2312222202133 is an apocalyptic number.

It is an amenable number.

312222202133 is a deficient number, since it is larger than the sum of its proper divisors (3236628547).

312222202133 is a wasteful number, since it uses less digits than its factorization.

312222202133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182167.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 312222202133 its reverse (331202222213), we get a palindrome (643424424346).

The spelling of 312222202133 in words is "three hundred twelve billion, two hundred twenty-two million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 97 19841 162229 1924577 15736213 3218785589 312222202133