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11210202010 = 2572921091747
BaseRepresentation
bin10100111000010111…
…00001101110011010
31001221020222021012001
422130023201232122
5140424302431020
65052213311214
7544541100460
oct123413415632
931836867161
1011210202010
114832959767
12220a33550a
131098644437
14784b8a830
1545926150a
hex29c2e1b9a

11210202010 has 96 divisors (see below), whose sum is σ = 24116526720. Its totient is φ = 3674813184.

The previous prime is 11210201971. The next prime is 11210202011. The reversal of 11210202010 is 1020201211.

11210202010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11210202011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6415957 + ... + 6417703.

It is an arithmetic number, because the mean of its divisors is an integer number (251213820).

Almost surely, 211210202010 is an apocalyptic number.

11210202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11210202010 is an abundant number, since it is smaller than the sum of its proper divisors (12906324710).

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

11210202010 is a wasteful number, since it uses less digits than its factorization.

11210202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1899 counting only the distinct ones).

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

Adding to 11210202010 its reverse (1020201211), we get a palindrome (12230403221).

The spelling of 11210202010 in words is "eleven billion, two hundred ten million, two hundred two thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 109 145 203 218 290 406 545 763 841 1015 1090 1526 1682 1747 2030 3161 3494 3815 4205 5887 6322 7630 8410 8735 11774 12229 15805 17470 22127 24458 29435 31610 44254 50663 58870 61145 91669 101326 110635 122290 183338 190423 221270 253315 354641 380846 458345 506630 641683 709282 916690 952115 1283366 1332961 1469227 1773205 1904230 2665922 2938454 3208415 3546410 5522267 6416830 6664805 7346135 10284589 11044534 13329610 14692270 20569178 27611335 38655869 51422945 55222670 77311738 102845890 160145743 193279345 320291486 386558690 800728715 1121020201 1601457430 2242040402 5605101005 11210202010