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210012341200 = 24521499293793
BaseRepresentation
bin1100001110010110110…
…1100000001111010000
3202002002010021022120021
43003211231200033100
511420101124404300
6240251153153224
721113205306064
oct3034555401720
9662063238507
10210012341200
118107a545352
123485085b814
1316a5b73aa1c
14a243b37aa4
1556e246dd1a
hex30e5b603d0

210012341200 has 120 divisors (see below), whose sum is σ = 508621743000. Its totient is φ = 83329351680.

The previous prime is 210012341197. The next prime is 210012341221. The reversal of 210012341200 is 2143210012.

It can be written as a sum of positive squares in 12 ways, for example, as 188936270224 + 21076070976 = 434668^2 + 145176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55366504 + ... + 55370296.

It is an arithmetic number, because the mean of its divisors is an integer number (4238514525).

Almost surely, 2210012341200 is an apocalyptic number.

210012341200 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 210012341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254310871500).

210012341200 is an abundant number, since it is smaller than the sum of its proper divisors (298609401800).

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

210012341200 is a wasteful number, since it uses less digits than its factorization.

210012341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210012341200 its reverse (2143210012), we get a palindrome (212155551212).

The spelling of 210012341200 in words is "two hundred ten billion, twelve million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 929 1192 1490 1858 2384 2980 3716 3725 3793 4645 5960 7432 7450 7586 9290 11920 14864 14900 15172 18580 18965 23225 29800 30344 37160 37930 46450 59600 60688 74320 75860 92900 94825 138421 151720 185800 189650 276842 303440 371600 379300 553684 565157 692105 758600 1107368 1130314 1384210 1517200 2214736 2260628 2768420 2825785 3460525 3523697 4521256 5536840 5651570 6921050 7047394 9042512 11073680 11303140 13842100 14094788 14128925 17618485 22606280 27684200 28189576 28257850 35236970 45212560 55368400 56379152 56515700 70473940 88092425 113031400 140947880 176184850 226062800 281895760 352369700 525030853 704739400 1050061706 1409478800 2100123412 2625154265 4200246824 5250308530 8400493648 10500617060 13125771325 21001234120 26251542650 42002468240 52503085300 105006170600 210012341200