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321140012104 = 237317314932129
BaseRepresentation
bin1001010110001010110…
…11111011010001001000
31010200220210120220121101
410223011123323101020
520230143320341404
6403310224551144
732126102030602
oct4530533732110
91120823526541
10321140012104
1111421618a28a
12522a51824b4
132438b756402
14117869c0172
1585485662a4
hex4ac56fb448

321140012104 has 64 divisors (see below), whose sum is σ = 614613970800. Its totient is φ = 157275611136.

The previous prime is 321140012077. The next prime is 321140012107. The reversal of 321140012104 is 401210041123.

It can be written as a sum of positive squares in 8 ways, for example, as 265325949604 + 55814062500 = 515098^2 + 236250^2 .

It is not an unprimeable number, because it can be changed into a prime (321140012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150839712 + ... + 150841840.

Almost surely, 2321140012104 is an apocalyptic number.

It is an amenable number.

321140012104 is a deficient number, since it is larger than the sum of its proper divisors (293473958696).

321140012104 is a wasteful number, since it uses less digits than its factorization.

321140012104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 321140012104 its reverse (401210041123), we get a palindrome (722350053227).

It can be divided in two parts, 32114001 and 2104, that added together give a triangular number (32116105 = T8014).

The spelling of 321140012104 in words is "three hundred twenty-one billion, one hundred forty million, twelve thousand, one hundred four".

Divisors: 1 2 4 8 73 146 173 292 346 584 692 1384 1493 2129 2986 4258 5972 8516 11944 12629 17032 25258 50516 101032 108989 155417 217978 258289 310834 368317 435956 516578 621668 736634 871912 1033156 1243336 1473268 2066312 2946536 3178597 6357194 12714388 18855097 25428776 26887141 37710194 53774282 75420388 107548564 150840776 215097128 232037581 464075162 549897281 928150324 1099794562 1856300648 2199589124 4399178248 40142501513 80285003026 160570006052 321140012104