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211420300 = 225272133319
BaseRepresentation
bin11001001101000…
…00010010001100
3112201211021010111
430212200102030
5413110422200
632551245404
75145020500
oct1446402214
9481737114
10211420300
11a9383223
125a979864
1334a55490
1420116300
15138630ba
hexc9a048c

211420300 has 108 divisors (see below), whose sum is σ = 574911120. Its totient is φ = 66890880.

The previous prime is 211420289. The next prime is 211420343. The reversal of 211420300 is 3024112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62041 + ... + 65359.

Almost surely, 2211420300 is an apocalyptic number.

211420300 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 211420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287455560).

211420300 is an abundant number, since it is smaller than the sum of its proper divisors (363490820).

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

211420300 is a wasteful number, since it uses less digits than its factorization.

211420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 211420300 is about 14540.2991716127. The cubic root of 211420300 is about 595.7292097489.

Adding to 211420300 its reverse (3024112), we get a palindrome (214444412).

The spelling of 211420300 in words is "two hundred eleven million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 3319 4550 4900 6370 6638 9100 12740 13276 15925 16595 23233 31850 33190 43147 46466 63700 66380 82975 86294 92932 116165 162631 165950 172588 215735 232330 302029 325262 331900 431470 464660 580825 604058 650524 813155 862940 1078675 1161650 1208116 1510145 1626310 2114203 2157350 2323300 3020290 3252620 4065775 4228406 4314700 6040580 7550725 8131550 8456812 10571015 15101450 16263100 21142030 30202900 42284060 52855075 105710150 211420300