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21201211000 = 2353103205837
BaseRepresentation
bin10011101111101100…
…001100111001111000
32000201112211002222001
4103233230030321320
5321410002223000
613423435310344
71350246214534
oct235754147170
960645732861
1021201211000
118a9a592692
1241382ab3b4
131ccb504388
141051a4cbc4
1584144546a
hex4efb0ce78

21201211000 has 64 divisors (see below), whose sum is σ = 50092735680. Its totient is φ = 8398108800.

The previous prime is 21201210973. The next prime is 21201211001. The reversal of 21201211000 is 11210212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201211001) 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, 82 + ... + 205918.

It is an arithmetic number, because the mean of its divisors is an integer number (782698995).

Almost surely, 221201211000 is an apocalyptic number.

21201211000 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 21201211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25046367840).

21201211000 is an abundant number, since it is smaller than the sum of its proper divisors (28891524680).

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

21201211000 is a wasteful number, since it uses less digits than its factorization.

21201211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205961 (or 205947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21201211000 its reverse (11210212), we get a palindrome (21212421212).

The spelling of 21201211000 in words is "twenty-one billion, two hundred one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 2060 2575 4120 5150 10300 12875 20600 25750 51500 103000 205837 411674 823348 1029185 1646696 2058370 4116740 5145925 8233480 10291850 20583700 21201211 25729625 41167400 42402422 51459250 84804844 102918500 106006055 169609688 205837000 212012110 424024220 530030275 848048440 1060060550 2120121100 2650151375 4240242200 5300302750 10600605500 21201211000