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221121000021000 = 23353209935115293
BaseRepresentation
bin110010010001101110111110…
…101010001001110000001000
31001222220221221200101221010110
4302101232332222021300020
5212440321302001133000
62102141330212314320
764401315341320122
oct6221567652116010
91058827850357113
10221121000021000
1164501986998a32
12209728936129a0
13964c80bc6c3c1
143c86456386212
151a86ce8329850
hexc91bbea89c08

221121000021000 has 128 divisors (see below), whose sum is σ = 690226218864000. Its totient is φ = 58937506092800.

The previous prime is 221121000020993. The next prime is 221121000021001. The reversal of 221121000021000 is 120000121122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221121000021001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11260647 + ... + 23854646.

It is an arithmetic number, because the mean of its divisors is an integer number (5392392334875).

Almost surely, 2221121000021000 is an apocalyptic number.

221121000021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121000021000 is an abundant number, since it is smaller than the sum of its proper divisors (469105218843000).

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

221121000021000 is a wasteful number, since it uses less digits than its factorization.

221121000021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35117416 (or 35117402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221121000021000 its reverse (120000121122), we get a palindrome (221241000142122).

The spelling of 221121000021000 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2099 3000 4198 6297 8396 10495 12594 16792 20990 25188 31485 41980 50376 52475 62970 83960 104950 125940 157425 209900 251880 262375 314850 419800 524750 629700 787125 1049500 1259400 1574250 2099000 3148500 6297000 35115293 70230586 105345879 140461172 175576465 210691758 280922344 351152930 421383516 526729395 702305860 842767032 877882325 1053458790 1404611720 1755764650 2106917580 2633646975 3511529300 4213835160 4389411625 5267293950 7023058600 8778823250 10534587900 13168234875 17557646500 21069175800 26336469750 35115293000 52672939500 73707000007 105345879000 147414000014 221121000021 294828000028 368535000035 442242000042 589656000056 737070000070 884484000084 1105605000105 1474140000140 1768968000168 1842675000175 2211210000210 2948280000280 3685350000350 4422420000420 5528025000525 7370700000700 8844840000840 9213375000875 11056050001050 14741400001400 18426750001750 22112100002100 27640125002625 36853500003500 44224200004200 55280250005250 73707000007000 110560500010500 221121000021000