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1052041321000 = 23532389513943
BaseRepresentation
bin11110100111100101000…
…11001001101000101000
310201120111120100110002101
433103302203021220220
5114214040034233000
62123145012343144
7136002364452655
oct17236243115050
93646446313071
101052041321000
1137619399869a
1214ba86614ab4
137828cc1c7c7
1438cc1d0ac2c
151c575431e6a
hexf4f28c9a28

1052041321000 has 128 divisors (see below), whose sum is σ = 2597678553600. Its totient is φ = 397996684800.

The previous prime is 1052041320959. The next prime is 1052041321007. The reversal of 1052041321000 is 1231402501.

It is a super-2 number, since 2×10520413210002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052041321007) 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 31 ways as a sum of consecutive naturals, for example, 1790029 + ... + 2303971.

It is an arithmetic number, because the mean of its divisors is an integer number (20294363700).

Almost surely, 21052041321000 is an apocalyptic number.

1052041321000 is a gapful number since it is divisible by the number (10) 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 1052041321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298839276800).

1052041321000 is an abundant number, since it is smaller than the sum of its proper divisors (1545637232600).

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

1052041321000 is a wasteful number, since it uses less digits than its factorization.

1052041321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514076 (or 514062 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 1052041321000 its reverse (1231402501), we get a palindrome (1053272723501).

The spelling of 1052041321000 in words is "one trillion, fifty-two billion, forty-one million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 89 92 100 115 125 178 184 200 230 250 356 445 460 500 575 712 890 920 1000 1150 1780 2047 2225 2300 2875 3560 4094 4450 4600 5750 8188 8900 10235 11125 11500 16376 17800 20470 22250 23000 40940 44500 51175 81880 89000 102350 204700 255875 409400 511750 513943 1023500 1027886 2047000 2055772 2569715 4111544 5139430 10278860 11820689 12848575 20557720 23641378 25697150 45740927 47282756 51394300 59103445 64242875 91481854 94565512 102788600 118206890 128485750 182963708 228704635 236413780 256971500 295517225 365927416 457409270 472827560 513943000 591034450 914818540 1052041321 1143523175 1182068900 1477586125 1829637080 2104082642 2287046350 2364137800 2955172250 4208165284 4574092700 5260206605 5717615875 5910344500 8416330568 9148185400 10520413210 11435231750 11820689000 21040826420 22870463500 26301033025 42081652840 45740927000 52602066050 105204132100 131505165125 210408264200 263010330250 526020660500 1052041321000