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21121101022000 = 24537330788777
BaseRepresentation
bin1001100110101101000111…
…01110010100001100110000
32202210011020211211020212211
410303112203232110030300
510232022003330201000
6112530522211501504
74306643400334000
oct463264356241460
982704224736784
1021121101022000
1168034549a0191
1224514b1bb7894
13ba29328b4835
145303a3d34000
1526961d08b7ba
hex1335a3b94330

21121101022000 has 160 divisors (see below), whose sum is σ = 59557812163200. Its totient is φ = 7241520115200.

The previous prime is 21121101021983. The next prime is 21121101022003. The reversal of 21121101022000 is 22010112112.

It is a super-2 number, since 2×211211010220002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121101022003) 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, 14708389 + ... + 16080388.

It is an arithmetic number, because the mean of its divisors is an integer number (372236326020).

Almost surely, 221121101022000 is an apocalyptic number.

21121101022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121101022000 is an abundant number, since it is smaller than the sum of its proper divisors (38436711141200).

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

21121101022000 is an equidigital number, since it uses as much as digits as its factorization.

21121101022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30788821 (or 30788791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21121101022000 its reverse (22010112112), we get a palindrome (21143111134112).

The spelling of 21121101022000 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 343 350 392 400 490 500 560 686 700 784 875 980 1000 1225 1372 1400 1715 1750 1960 2000 2450 2744 2800 3430 3500 3920 4900 5488 6125 6860 7000 8575 9800 12250 13720 14000 17150 19600 24500 27440 34300 42875 49000 68600 85750 98000 137200 171500 343000 686000 30788777 61577554 123155108 153943885 215521439 246310216 307887770 431042878 492620432 615775540 769719425 862085756 1077607195 1231551080 1508650073 1539438850 1724171512 2155214390 2463102160 3017300146 3078877700 3448343024 3848597125 4310428780 5388035975 6034600292 6157755400 7543250365 7697194250 8620857560 10560550511 10776071950 12069200584 12315510800 15086500730 15394388500 17241715120 21121101022 21552143900 24138401168 26940179875 30173001460 30788777000 37716251825 42242202044 43104287800 52802752555 53880359750 60346002920 61577554000 75432503650 84484404088 86208575600 105605505110 107760719500 120692005840 150865007300 168968808176 188581259125 211211010220 215521439000 264013762775 301730014600 377162518250 422422020440 431042878000 528027525550 603460029200 754325036500 844844040880 1056055051100 1320068813875 1508650073000 2112110102200 2640137627750 3017300146000 4224220204400 5280275255500 10560550511000 21121101022000