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321023021312 = 2871720035261
BaseRepresentation
bin1001010101111100111…
…01101001000100000000
31010200121122110011102002
410222332131221010000
520224423343140222
6403250445243132
732123151441560
oct4527635510400
91120548404362
10321023021312
11114166143384
1252271b634a8
13243704440a6
1411775248da0
15853d157392
hex4abe769100

321023021312 has 144 divisors (see below), whose sum is σ = 775946812032. Its totient is φ = 129399029760.

The previous prime is 321023021287. The next prime is 321023021359. The reversal of 321023021312 is 213120320123.

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 15 ways as a sum of consecutive naturals, for example, 61016762 + ... + 61022022.

It is an arithmetic number, because the mean of its divisors is an integer number (5388519528).

Almost surely, 2321023021312 is an apocalyptic number.

321023021312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321023021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387973406016).

321023021312 is an abundant number, since it is smaller than the sum of its proper divisors (454923790720).

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

321023021312 is a wasteful number, since it uses less digits than its factorization.

321023021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 321023021312 its reverse (213120320123), we get a palindrome (534143341435).

The spelling of 321023021312 in words is "three hundred twenty-one billion, twenty-three million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2003 2176 3808 4006 4352 5261 7616 8012 10522 14021 15232 16024 21044 28042 30464 32048 34051 36827 42088 56084 64096 68102 73654 84176 89437 112168 128192 136204 147308 168352 178874 224336 238357 256384 272408 294616 336704 357748 448672 476714 512768 544816 589232 626059 673408 715496 897344 953428 1089632 1178464 1252118 1346816 1430992 1794688 1906856 2179264 2356928 2504236 2861984 3589376 3813712 4358528 4713856 5008472 5723968 7627424 8717056 9427712 10016944 10537783 11447936 15254848 20033888 21075566 22895872 30509696 40067776 42151132 61019392 73764481 80135552 84302264 147528962 160271104 168604528 179142311 295057924 337209056 358284622 590115848 674418112 716569244 1180231696 1253996177 1348836224 1433138488 2360463392 2507992354 2697672448 2866276976 4720926784 5015984708 5732553952 9441853568 10031969416 11465107904 18883707136 20063938832 22930215808 40127877664 45860431616 80255755328 160511510656 321023021312