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21210022000 = 245317596029
BaseRepresentation
bin10011110000001101…
…110100000001110000
32000202011101202101101
4103300031310001300
5321414231201000
613424352214144
71350414132556
oct236015640160
960664352341
1021210022000
118aa4560502
12413b23a354
13200029a99b
141052ca3bd6
158420d5e6a
hex4f0374070

21210022000 has 80 divisors (see below), whose sum is σ = 51323500800. Its totient is φ = 8477779200.

The previous prime is 21210021983. The next prime is 21210022013. The reversal of 21210022000 is 22001212.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514986 + ... + 3521014.

It is an arithmetic number, because the mean of its divisors is an integer number (641543760).

Almost surely, 221210022000 is an apocalyptic number.

21210022000 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 21210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25661750400).

21210022000 is an abundant number, since it is smaller than the sum of its proper divisors (30113478800).

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

21210022000 is a wasteful number, since it uses less digits than its factorization.

21210022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21210022000 its reverse (22001212), we get a palindrome (21232023212).

The spelling of 21210022000 in words is "twenty-one billion, two hundred ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1759 2000 3518 6029 7036 8795 12058 14072 17590 24116 28144 30145 35180 43975 48232 60290 70360 87950 96464 120580 140720 150725 175900 219875 241160 301450 351800 439750 482320 602900 703600 753625 879500 1205800 1507250 1759000 2411600 3014500 3518000 6029000 10605011 12058000 21210022 42420044 53025055 84840088 106050110 169680176 212100220 265125275 424200440 530250550 848400880 1060501100 1325626375 2121002200 2651252750 4242004400 5302505500 10605011000 21210022000