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21150351200 = 25521113917291
BaseRepresentation
bin10011101100101010…
…001011111101100000
32000121000010011102202
4103230222023331200
5321303442214300
613414421232332
71346061006326
oct235452137540
960530104382
1021150351200
118a739049a0
1241232626a8
131cc0b07814
141048dadd16
1583bc4aad5
hex4eca8bf60

21150351200 has 144 divisors (see below), whose sum is σ = 56735743680. Its totient is φ = 7635264000.

The previous prime is 21150351197. The next prime is 21150351217. The reversal of 21150351200 is 215305112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214555 + ... + 1231845.

It is an arithmetic number, because the mean of its divisors is an integer number (393998220).

Almost surely, 221150351200 is an apocalyptic number.

21150351200 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 21150351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28367871840).

21150351200 is an abundant number, since it is smaller than the sum of its proper divisors (35585392480).

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

21150351200 is a wasteful number, since it uses less digits than its factorization.

21150351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17461 (or 17448 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 21150351200 its reverse (215305112), we get a palindrome (21365656312).

The spelling of 21150351200 in words is "twenty-one billion, one hundred fifty million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 139 160 176 200 220 275 278 352 400 440 550 556 695 800 880 1100 1112 1390 1529 1760 2200 2224 2780 3058 3475 4400 4448 5560 6116 6950 7645 8800 11120 12232 13900 15290 17291 22240 24464 27800 30580 34582 38225 48928 55600 61160 69164 76450 86455 111200 122320 138328 152900 172910 190201 244640 276656 305800 345820 380402 432275 553312 611600 691640 760804 864550 951005 1223200 1383280 1521608 1729100 1902010 2403449 2766560 3043216 3458200 3804020 4755025 4806898 6086432 6916400 7608040 9510050 9613796 12017245 13832800 15216080 19020100 19227592 24034490 26437939 30432160 38040200 38455184 48068980 52875878 60086225 76080400 76910368 96137960 105751756 120172450 132189695 152160800 192275920 211503512 240344900 264379390 384551840 423007024 480689800 528758780 660948475 846014048 961379600 1057517560 1321896950 1922759200 2115035120 2643793900 4230070240 5287587800 10575175600 21150351200