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321213101312 = 282014962273
BaseRepresentation
bin1001010110010011100…
…10101111010100000000
31010201002220010020011002
410223021302233110000
520230321023220222
6403321355311132
732130650211635
oct4531162572400
91121086106132
10321213101312
11114253470294
125230574b4a8
13243a093706c
14117925a818c
15854eba2392
hex4ac9caf500

321213101312 has 36 divisors (see below), whose sum is σ = 641213582100. Its totient is φ = 160596000768.

The previous prime is 321213101263. The next prime is 321213101323. The reversal of 321213101312 is 213101312123.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 130823996416 + 190389104896 = 361696^2 + 436336^2 .

It is a super-2 number, since 2×3212131013122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5127008 + ... + 5189280.

Almost surely, 2321213101312 is an apocalyptic number.

321213101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321213101312 is a deficient number, since it is larger than the sum of its proper divisors (320000480788).

321213101312 is an equidigital number, since it uses as much as digits as its factorization.

321213101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82438 (or 82424 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 321213101312 its reverse (213101312123), we get a palindrome (534314413435).

The spelling of 321213101312 in words is "three hundred twenty-one billion, two hundred thirteen million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 20149 40298 62273 80596 124546 161192 249092 322384 498184 644768 996368 1289536 1992736 2579072 3985472 5158144 7970944 15941888 1254738677 2509477354 5018954708 10037909416 20075818832 40151637664 80303275328 160606550656 321213101312