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21111101200 = 245273153871
BaseRepresentation
bin10011101010010100…
…011101011100010000
32000111021021001120001
4103222110131130100
5321213420214300
613410500055344
71345103254000
oct235224353420
960437231501
1021111101200
118a53736882
124112094554
131cb5944477
141043ab4000
1583859616a
hex4ea51d710

21111101200 has 120 divisors (see below), whose sum is σ = 59148396800. Its totient is φ = 7238044800.

The previous prime is 21111101197. The next prime is 21111101201. The reversal of 21111101200 is 210111112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21111101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60265 + ... + 214135.

Almost surely, 221111101200 is an apocalyptic number.

21111101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29574198400).

21111101200 is an abundant number, since it is smaller than the sum of its proper divisors (38037295600).

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

21111101200 is a wasteful number, since it uses less digits than its factorization.

21111101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153910 (or 153885 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21111101200 its reverse (210111112), we get a palindrome (21321212312).

The spelling of 21111101200 in words is "twenty-one billion, one hundred eleven million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 343 350 392 400 490 560 686 700 784 980 1225 1372 1400 1715 1960 2450 2744 2800 3430 3920 4900 5488 6860 8575 9800 13720 17150 19600 27440 34300 68600 137200 153871 307742 615484 769355 1077097 1230968 1538710 2154194 2461936 3077420 3846775 4308388 5385485 6154840 7539679 7693550 8616776 10770970 12309680 15079358 15387100 17233552 21541940 26927425 30158716 30774200 37698395 43083880 52777753 53854850 60317432 61548400 75396790 86167760 105555506 107709700 120634864 150793580 188491975 211111012 215419400 263888765 301587160 376983950 422222024 430838800 527777530 603174320 753967900 844444048 1055555060 1319443825 1507935800 2111110120 2638887650 3015871600 4222220240 5277775300 10555550600 21111101200