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312212033322 = 23741712553631
BaseRepresentation
bin1001000101100010100…
…10011000111100101010
31002211212121000121010120
410202301102120330222
520103402240031242
6355232255224110
731361622332130
oct4426122307452
91084777017116
10312212033322
1111045460a722
1250613218036
1323597ba1927
141117ad95750
1581c48641ec
hex48b1498f2a

312212033322 has 64 divisors (see below), whose sum is σ = 741329584128. Its totient is φ = 85801968000.

The previous prime is 312212033269. The next prime is 312212033327. The reversal of 312212033322 is 223330212213.

It is a junction number, because it is equal to n+sod(n) for n = 312212033292 and 312212033301.

It is not an unprimeable number, because it can be changed into a prime (312212033327) 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 in 31 ways as a sum of consecutive naturals, for example, 1154554 + ... + 1399077.

It is an arithmetic number, because the mean of its divisors is an integer number (11583274752).

Almost surely, 2312212033322 is an apocalyptic number.

312212033322 is an abundant number, since it is smaller than the sum of its proper divisors (429117550806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312212033322 is a wasteful number, since it uses less digits than its factorization.

312212033322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553755.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312212033322 its reverse (223330212213), we get a palindrome (535542245535).

The spelling of 312212033322 in words is "three hundred twelve billion, two hundred twelve million, thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 71 82 123 142 213 246 287 426 497 574 861 994 1491 1722 2911 2982 5822 8733 17466 20377 40754 61131 122262 2553631 5107262 7660893 15321786 17875417 35750834 53626251 104698871 107252502 181307801 209397742 314096613 362615602 543923403 628193226 732892097 1087846806 1269154607 1465784194 2198676291 2538309214 3807463821 4397352582 7433619841 7614927642 14867239682 22300859523 44601719046 52035338887 104070677774 156106016661 312212033322