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21421331000 = 2353472391907
BaseRepresentation
bin10011111100110011…
…111001001000111000
32001021220000100211122
4103330303321020320
5322332330043000
613501341244412
71355561211026
oct237463711070
961256010748
1021421331000
1190a2868043
124199b63708
132034cb45b4
141072d8b716
15855926085
hex4fccf9238

21421331000 has 128 divisors (see below), whose sum is σ = 51433574400. Its totient is φ = 8346755200.

The previous prime is 21421330999. The next prime is 21421331003. The reversal of 21421331000 is 13312412.

It is a super-2 number, since 2×214213310002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21421331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21421331003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11232047 + ... + 11233953.

It is an arithmetic number, because the mean of its divisors is an integer number (401824800).

Almost surely, 221421331000 is an apocalyptic number.

21421331000 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 21421331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25716787200).

21421331000 is an abundant number, since it is smaller than the sum of its proper divisors (30012243400).

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

21421331000 is a wasteful number, since it uses less digits than its factorization.

21421331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21421331000 its reverse (13312412), we get a palindrome (21434643412).

The spelling of 21421331000 in words is "twenty-one billion, four hundred twenty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 239 250 376 470 478 500 940 956 1000 1175 1195 1880 1907 1912 2350 2390 3814 4700 4780 5875 5975 7628 9400 9535 9560 11233 11750 11950 15256 19070 22466 23500 23900 29875 38140 44932 47000 47675 47800 56165 59750 76280 89629 89864 95350 112330 119500 179258 190700 224660 238375 239000 280825 358516 381400 448145 449320 455773 476750 561650 717032 896290 911546 953500 1123300 1404125 1792580 1823092 1907000 2240725 2246600 2278865 2808250 3585160 3646184 4481450 4557730 5616500 8962900 9115460 11203625 11233000 11394325 17925800 18230920 21421331 22407250 22788650 42842662 44814500 45577300 56971625 85685324 89629000 91154600 107106655 113943250 171370648 214213310 227886500 428426620 455773000 535533275 856853240 1071066550 2142133100 2677666375 4284266200 5355332750 10710665500 21421331000