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320011021000 = 235311223130457
BaseRepresentation
bin1001010100000100010…
…01001010101011001000
31010121000010012012222001
410222002021022223020
520220340310133000
6403002214440344
732056112540416
oct4520211125310
91117003165861
10320011021000
11113796973590
125202b0630b4
132423b894a38
14116baa962b6
1584ce3a546a
hex4a8224aac8

320011021000 has 128 divisors (see below), whose sum is σ = 820570383360. Its totient is φ = 115844928000.

The previous prime is 320011020983. The next prime is 320011021021. The reversal of 320011021000 is 120110023.

It is a super-2 number, since 2×3200110210002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2387772 + ... + 2518228.

It is an arithmetic number, because the mean of its divisors is an integer number (6410706120).

Almost surely, 2320011021000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320011021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410285191680).

320011021000 is an abundant number, since it is smaller than the sum of its proper divisors (500559362360).

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

320011021000 is a wasteful number, since it uses less digits than its factorization.

320011021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130712 (or 130698 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 320011021000 its reverse (120110023), we get a palindrome (320131131023).

The spelling of 320011021000 in words is "three hundred twenty billion, eleven million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 223 250 275 440 446 500 550 892 1000 1100 1115 1375 1784 2200 2230 2453 2750 4460 4906 5500 5575 8920 9812 11000 11150 12265 19624 22300 24530 27875 44600 49060 55750 61325 98120 111500 122650 130457 223000 245300 260914 306625 490600 521828 613250 652285 1043656 1226500 1304570 1435027 2453000 2609140 2870054 3261425 5218280 5740108 6522850 7175135 11480216 13045700 14350270 16307125 26091400 28700540 29091911 32614250 35875675 57401080 58183822 65228500 71751350 116367644 130457000 143502700 145459555 179378375 232735288 287005400 290919110 320011021 358756750 581838220 640022042 717513500 727297775 1163676440 1280044084 1435027000 1454595550 1600055105 2560088168 2909191100 3200110210 3636488875 5818382200 6400220420 7272977750 8000275525 12800440840 14545955500 16000551050 29091911000 32001102100 40001377625 64002204200 80002755250 160005510500 320011021000