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21132342352000 = 275311120070127
BaseRepresentation
bin1001100111000010000011…
…10000100101100010000000
32202211020021021100222122101
410303201001300211202000
510232213014120231000
6112540021500320144
74310522100141565
oct463410160454200
982736237328571
1021132342352000
1168081a337a860
12245370a843054
13ba3a048074a9
14530b4cca486c
15269a79deae6a
hex133841c25880

21132342352000 has 128 divisors (see below), whose sum is σ = 57316676302080. Its totient is φ = 7684488064000.

The previous prime is 21132342351997. The next prime is 21132342352007. The reversal of 21132342352000 is 25324323112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 21132342352000.

It is not an unprimeable number, because it can be changed into a prime (21132342352007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59859064 + ... + 60211063.

It is an arithmetic number, because the mean of its divisors is an integer number (447786533610).

Almost surely, 221132342352000 is an apocalyptic number.

21132342352000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132342352000 is an abundant number, since it is smaller than the sum of its proper divisors (36184333950080).

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

21132342352000 is a wasteful number, since it uses less digits than its factorization.

21132342352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120070167 (or 120070145 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 21132342352000 its reverse (25324323112), we get a palindrome (21157666675112).

The spelling of 21132342352000 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred forty-two million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 35200 44000 88000 176000 120070127 240140254 480280508 600350635 960561016 1200701270 1320771397 1921122032 2401402540 2641542794 3001753175 3842244064 4802805080 5283085588 6003506350 6603856985 7684488128 9605610160 10566171176 12007012700 13207713970 15008765875 15368976256 19211220320 21132342352 24014025400 26415427940 30017531750 33019284925 38422440640 42264684704 48028050800 52830855880 60035063500 66038569850 76844881280 84529369408 96056101600 105661711760 120070127000 132077139700 165096424625 169058738816 192112203200 211323423520 240140254000 264154279400 330192849250 384224406400 422646847040 480280508000 528308558800 660385698500 845293694080 960561016000 1056617117600 1320771397000 1921122032000 2113234235200 2641542794000 4226468470400 5283085588000 10566171176000 21132342352000