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312222134023033 = 1321847468248657
BaseRepresentation
bin100011011111101101110000…
…1011000111011001101111001
31111221111010220100101020122211
41012333123201120323031321
5311410421412302214113
63024012511313215121
7122523206353523023
oct10677334130731571
91457433810336584
10312222134023033
1190535733050643
122b0268a8b614a1
131052a56195c500
1457158bbda3013
152616932ea7b3d
hex11bf6e163b379

312222134023033 has 6 divisors (see below), whose sum is σ = 338086689504414. Its totient is φ = 288205046790336.

The previous prime is 312222134022991. The next prime is 312222134023039. The reversal of 312222134023033 is 330320431222213.

It can be written as a sum of positive squares in 3 ways, for example, as 11947751728704 + 300274382294329 = 3456552^2 + 17328427^2 .

It is not a de Polignac number, because 312222134023033 - 213 = 312222134014841 is a prime.

It is a super-3 number, since 3×3122221340230333 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312222134022986 and 312222134023004.

It is not an unprimeable number, because it can be changed into a prime (312222134023039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 923734124160 + ... + 923734124497.

It is an arithmetic number, because the mean of its divisors is an integer number (56347781584069).

Almost surely, 2312222134023033 is an apocalyptic number.

It is an amenable number.

312222134023033 is a deficient number, since it is larger than the sum of its proper divisors (25864555481381).

312222134023033 is a wasteful number, since it uses less digits than its factorization.

312222134023033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847468248683 (or 1847468248670 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 312222134023033 its reverse (330320431222213), we get a palindrome (642542565245246).

The spelling of 312222134023033 in words is "three hundred twelve trillion, two hundred twenty-two billion, one hundred thirty-four million, twenty-three thousand, thirty-three".

Divisors: 1 13 169 1847468248657 24017087232541 312222134023033