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11200221010 = 2511217232029
BaseRepresentation
bin10100110111001010…
…11100111101010010
31001220120012011211101
422123211130331102
5140414224033020
65051215335014
7544360210366
oct123345347522
931816164741
1011200221010
114828261900
122206b2146a
13109655b414
1478370d2a6
1545843e00a
hex29b95cf52

11200221010 has 72 divisors (see below), whose sum is σ = 23540704740. Its totient is φ = 3833111040.

The previous prime is 11200221007. The next prime is 11200221017. The reversal of 11200221010 is 1012200211.

It can be written as a sum of positive squares in 6 ways, for example, as 4046613769 + 7153607241 = 63613^2 + 84579^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11200221017) 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 35 ways as a sum of consecutive naturals, for example, 333676 + ... + 365704.

Almost surely, 211200221010 is an apocalyptic number.

11200221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11200221010 is an abundant number, since it is smaller than the sum of its proper divisors (12340483730).

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

11200221010 is a wasteful number, since it uses less digits than its factorization.

11200221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32092 (or 32064 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200221010 its reverse (1012200211), we get a palindrome (12212421221).

The spelling of 11200221010 in words is "eleven billion, two hundred million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 289 374 578 605 935 1210 1445 1870 2057 2890 3179 4114 6358 10285 15895 20570 31790 32029 34969 64058 69938 160145 174845 320290 349690 352319 544493 704638 1088986 1761595 2722465 3523190 3875509 5444930 5989423 7751018 9256381 11978846 18512762 19377545 29947115 38755090 46281905 59894230 65883653 92563810 101820191 131767306 203640382 329418265 509100955 658836530 1018201910 1120022101 2240044202 5600110505 11200221010