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21201212021000 = 2353112383799257
BaseRepresentation
bin1001101001000010010101…
…01101100001100100001000
32210001211000220210122212212
410310201022231201210020
510234330040234133000
6113031411412324252
74315510540520564
oct464411255414410
983054026718785
1021201212021000
116834424520480
122464b2b013688
13baa35ba1161b
145342037246a4
1526b75b183c35
hex13484ab61908

21201212021000 has 128 divisors (see below), whose sum is σ = 56473995951360. Its totient is φ = 7374334528000.

The previous prime is 21201212020987. The next prime is 21201212021123. The reversal of 21201212021000 is 12021210212.

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 31 ways as a sum of consecutive naturals, for example, 41646629 + ... + 42152628.

It is an arithmetic number, because the mean of its divisors is an integer number (441203093370).

Almost surely, 221201212021000 is an apocalyptic number.

21201212021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201212021000 is an abundant number, since it is smaller than the sum of its proper divisors (35272783930360).

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

21201212021000 is a wasteful number, since it uses less digits than its factorization.

21201212021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83799312 (or 83799298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21201212021000 its reverse (12021210212), we get a palindrome (21213233231212).

The spelling of 21201212021000 in words is "twenty-one trillion, two hundred one billion, two hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 50600 63250 126500 253000 83799257 167598514 335197028 418996285 670394056 837992570 921791827 1675985140 1843583654 1927382911 2094981425 3351970280 3687167308 3854765822 4189962850 4608959135 7374334616 7709531644 8379925700 9217918270 9636914555 10474907125 15419063288 16759851400 18435836540 19273829110 20949814250 21201212021 23044795675 36871673080 38547658220 41899628500 42402424042 46089591350 48184572775 77095316440 83799257000 84804848084 92179182700 96369145550 106006060105 115223978375 169609696168 184358365400 192738291100 212012120210 230447956750 240922863875 385476582200 424024240420 460895913500 481845727750 530030300525 848048480840 921791827000 963691455500 1060060601050 1927382911000 2120121202100 2650151502625 4240242404200 5300303005250 10600606010500 21201212021000