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32213001121000 = 2353723711940893
BaseRepresentation
bin1110101001100001011000…
…11111010010110011101000
311020001112101102201200010121
413110300230133102303220
513210234211241333000
6152302240505253024
76533212124505160
oct724605437226350
9136045342650117
1032213001121000
11a29a503383737
123743118a94174
1314c889969779b
147d51908995a0
153ace027eeb1a
hex1d4c2c7d2ce8

32213001121000 has 128 divisors (see below), whose sum is σ = 86183146632960. Its totient is φ = 11039793696000.

The previous prime is 32213001120961. The next prime is 32213001121073. The reversal of 32213001121000 is 12110031223.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15626554 + ... + 17567446.

It is an arithmetic number, because the mean of its divisors is an integer number (673305833070).

Almost surely, 232213001121000 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 32213001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43091573316480).

32213001121000 is an abundant number, since it is smaller than the sum of its proper divisors (53970145511960).

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

32213001121000 is a wasteful number, since it uses less digits than its factorization.

32213001121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943292 (or 1943278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 32213001121000 its reverse (12110031223), we get a palindrome (32225111152223).

The spelling of 32213001121000 in words is "thirty-two trillion, two hundred thirteen billion, one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2371 3500 4742 7000 9484 11855 16597 18968 23710 33194 47420 59275 66388 82985 94840 118550 132776 165970 237100 296375 331940 414925 474200 592750 663880 829850 1185500 1659700 1940893 2074625 2371000 3319400 3881786 4149250 7763572 8298500 9704465 13586251 15527144 16597000 19408930 27172502 38817860 48522325 54345004 67931255 77635720 97044650 108690008 135862510 194089300 242611625 271725020 339656275 388178600 485223250 543450040 679312550 970446500 1358625100 1698281375 1940893000 2717250200 3396562750 4601857303 6793125500 9203714606 13586251000 18407429212 23009286515 32213001121 36814858424 46018573030 64426002242 92037146060 115046432575 128852004484 161065005605 184074292120 230092865150 257704008968 322130011210 460185730300 575232162875 644260022420 805325028025 920371460600 1150464325750 1288520044840 1610650056050 2300928651500 3221300112100 4026625140125 4601857303000 6442600224200 8053250280250 16106500560500 32213001121000