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21132002000000 = 275610566001
BaseRepresentation
bin1001100111000001011010…
…11110001111110010000000
32202211012101112221022110202
410303200231132033302000
510232211320003000000
6112535524021344332
74310510465166653
oct463405536176200
982735345838422
1021132002000000
116808039245311
1224536348680a8
13ba397c14b888
14530b199c989a
15269a5a0badd5
hex13382d78fc80

21132002000000 has 112 divisors (see below), whose sum is σ = 52622969190810. Its totient is φ = 8452800000000.

The previous prime is 21132001999967. The next prime is 21132002000023. The reversal of 21132002000000 is 20023112.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 4105551278656 + 17026450721344 = 2026216^2 + 4126312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3283001 + ... + 7283000.

Almost surely, 221132002000000 is an apocalyptic number.

21132002000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132002000000 is an abundant number, since it is smaller than the sum of its proper divisors (31490967190810).

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

21132002000000 is an frugal number, since it uses more digits than its factorization.

21132002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566045 (or 10566008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21132002000000 its reverse (20023112), we get a palindrome (21132022023112).

The spelling of 21132002000000 in words is "twenty-one trillion, one hundred thirty-two billion, two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 10566001 21132002 42264004 52830005 84528008 105660010 169056016 211320020 264150025 338112032 422640040 528300050 676224064 845280080 1056600100 1320750125 1352448128 1690560160 2113200200 2641500250 3381120320 4226400400 5283000500 6603750625 6762240640 8452800800 10566001000 13207501250 16905601600 21132002000 26415002500 33018753125 33811203200 42264004000 52830005000 66037506250 84528008000 105660010000 132075012500 165093765625 169056016000 211320020000 264150025000 330187531250 422640040000 528300050000 660375062500 845280080000 1056600100000 1320750125000 2113200200000 2641500250000 4226400400000 5283000500000 10566001000000 21132002000000