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11321012010 = 23571122321977
BaseRepresentation
bin10101000101100100…
…01110111100101010
31002012222110222221010
422202302032330222
5141141134341020
65111212324350
7550355004630
oct124262167452
932188428833
1011321012010
11488a463980
12223b4736b6
1310b55a1399
14795793350
15463d4dde0
hex2a2c8ef2a

11321012010 has 128 divisors (see below), whose sum is σ = 34028273664. Its totient is φ = 2341762560.

The previous prime is 11321011987. The next prime is 11321012023. The reversal of 11321012010 is 1021012311.

11321012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 504142 + ... + 526118.

It is an arithmetic number, because the mean of its divisors is an integer number (265845888).

Almost surely, 211321012010 is an apocalyptic number.

11321012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014136832).

11321012010 is an abundant number, since it is smaller than the sum of its proper divisors (22707261654).

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

11321012010 is a wasteful number, since it uses less digits than its factorization.

11321012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22228.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11321012010 its reverse (1021012311), we get a palindrome (12342024321).

The spelling of 11321012010 in words is "eleven billion, three hundred twenty-one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 223 231 330 385 446 462 669 770 1115 1155 1338 1561 2230 2310 2453 3122 3345 4683 4906 6690 7359 7805 9366 12265 14718 15610 17171 21977 23415 24530 34342 36795 43954 46830 51513 65931 73590 85855 103026 109885 131862 153839 171710 219770 241747 257565 307678 329655 461517 483494 515130 659310 725241 769195 923034 1208735 1450482 1538390 1692229 2307585 2417470 3384458 3626205 4615170 4900871 5076687 7252410 8461145 9801742 10153374 14702613 16922290 24504355 25383435 29405226 34306097 49008710 50766870 53909581 68612194 73513065 102918291 107819162 147026130 161728743 171530485 205836582 269547905 323457486 343060970 377367067 514591455 539095810 754734134 808643715 1029182910 1132101201 1617287430 1886835335 2264202402 3773670670 5660506005 11321012010