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210021323000 = 2353421659757
BaseRepresentation
bin1100001110011000111…
…1110001000011111000
3202002002202011122021112
43003212033301003320
511420110424314000
6240252113455452
721113344535066
oct3034617610370
9662082148245
10210021323000
118108461a525
1234853871588
1316a60563cb8
14a244dd5036
1556e3145235
hex30e63f10f8

210021323000 has 128 divisors (see below), whose sum is σ = 494016494400. Its totient is φ = 83571264000.

The previous prime is 210021322993. The next prime is 210021323011. The reversal of 210021323000 is 323120012.

It is a happy number.

210021323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2100213230002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 277438622 + ... + 277439378.

Almost surely, 2210021323000 is an apocalyptic number.

210021323000 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 210021323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247008247200).

210021323000 is an abundant number, since it is smaller than the sum of its proper divisors (283995171400).

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

210021323000 is a wasteful number, since it uses less digits than its factorization.

210021323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 210021323000 its reverse (323120012), we get a palindrome (210344443012).

The spelling of 210021323000 in words is "two hundred ten billion, twenty-one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 421 500 659 757 842 1000 1318 1514 1684 2105 2636 3028 3295 3368 3785 4210 5272 6056 6590 7570 8420 10525 13180 15140 16475 16840 18925 21050 26360 30280 32950 37850 42100 52625 65900 75700 82375 84200 94625 105250 131800 151400 164750 189250 210500 277439 318697 329500 378500 421000 498863 554878 637394 659000 757000 997726 1109756 1274788 1387195 1593485 1995452 2219512 2494315 2549576 2774390 3186970 3990904 4988630 5548780 6373940 6935975 7967425 9977260 11097560 12471575 12747880 13871950 15934850 19954520 24943150 27743900 31869700 34679875 39837125 49886300 55487800 62357875 63739400 69359750 79674250 99772600 124715750 138719500 159348500 210021323 249431500 277439000 318697000 420042646 498863000 840085292 1050106615 1680170584 2100213230 4200426460 5250533075 8400852920 10501066150 21002132300 26252665375 42004264600 52505330750 105010661500 210021323000