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10525312332000 = 253253292369787
BaseRepresentation
bin1001100100101001110110…
…0000001011000011100000
31101021012200010001122211200
42121022131200023003200
52334421314424111000
634215132311241200
72134300023446154
oct231123540130340
941235603048750
1010525312332000
11339883a465164
12121ba61979200
135b46c043772b
142855dbd9d064
15133bc2d91500
hex9929d80b0e0

10525312332000 has 144 divisors (see below), whose sum is σ = 37354333594032. Its totient is φ = 2806749945600.

The previous prime is 10525312331977. The next prime is 10525312332011. The reversal of 10525312332000 is 23321352501.

It is a happy number.

10525312332000 is a `hidden beast` number, since 1 + 0 + 5 + 25 + 312 + 3 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105253123320002 (a number of 27 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 23 ways as a sum of consecutive naturals, for example, 146148894 + ... + 146220893.

It is an arithmetic number, because the mean of its divisors is an integer number (259405094403).

Almost surely, 210525312332000 is an apocalyptic number.

10525312332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10525312332000 is an abundant number, since it is smaller than the sum of its proper divisors (26829021262032).

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

10525312332000 is a wasteful number, since it uses less digits than its factorization.

10525312332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292369818 (or 292369797 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10525312332000 its reverse (23321352501), we get a palindrome (10548633684501).

The spelling of 10525312332000 in words is "ten trillion, five hundred twenty-five billion, three hundred twelve million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 292369787 584739574 877109361 1169479148 1461848935 1754218722 2338958296 2631328083 2923697870 3508437444 4385546805 4677916592 5262656166 5847395740 7016874888 7309244675 8771093610 9355833184 10525312332 11694791480 13156640415 14033749776 14618489350 17542187220 21050624664 21927734025 23389582960 26313280830 28067499552 29236978700 35084374440 36546223375 42101249328 43855468050 46779165920 52626561660 58473957400 65783202075 70168748880 73092446750 84202498656 87710936100 105253123320 109638670125 116947914800 131566404150 140337497760 146184893500 175421872200 210506246640 219277340250 233895829600 263132808300 292369787000 328916010375 350843744400 421012493280 438554680500 526265616600 584739574000 657832020750 701687488800 877109361000 1052531233200 1169479148000 1315664041500 1754218722000 2105062466400 2631328083000 3508437444000 5262656166000 10525312332000