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11102102232 = 23313431316317
BaseRepresentation
bin10100101011011110…
…01010001011011000
31001122201120020011120
422111233022023120
5140214114232412
65033352325240
7542056211664
oct122557121330
931581506146
1011102102232
114787935801
12219a0a3820
13107c125c80
1477468b8a4
1544ea0bb8c
hex295bca2d8

11102102232 has 128 divisors (see below), whose sum is σ = 30823752960. Its totient is φ = 3310594560.

The previous prime is 11102102213. The next prime is 11102102237. The reversal of 11102102232 is 23220120111.

11102102232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102102237) 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 31 ways as a sum of consecutive naturals, for example, 1754338 + ... + 1760654.

It is an arithmetic number, because the mean of its divisors is an integer number (240810570).

Almost surely, 211102102232 is an apocalyptic number.

11102102232 is a gapful number since it is divisible by the number (12) 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 11102102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411876480).

11102102232 is an abundant number, since it is smaller than the sum of its proper divisors (19721650728).

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

11102102232 is a wasteful number, since it uses less digits than its factorization.

11102102232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11102102232 its reverse (23220120111), we get a palindrome (34322222343).

The spelling of 11102102232 in words is "eleven billion, one hundred two million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 131 156 172 258 262 312 344 393 516 524 559 786 1032 1048 1118 1572 1677 1703 2236 3144 3354 3406 4472 5109 5633 6317 6708 6812 10218 11266 12634 13416 13624 16899 18951 20436 22532 25268 33798 37902 40872 45064 50536 67596 73229 75804 82121 135192 146458 151608 164242 219687 246363 271631 292916 328484 439374 492726 543262 585832 656968 814893 827527 878748 985452 1086524 1629786 1655054 1757496 1970904 2173048 2482581 3259572 3310108 3531203 4965162 6519144 6620216 7062406 9930324 10593609 10757851 14124812 19860648 21187218 21515702 28249624 32273553 35583661 42374436 43031404 64547106 71167322 84748872 86062808 106750983 129094212 142334644 213501966 258188424 284669288 427003932 462587593 854007864 925175186 1387762779 1850350372 2775525558 3700700744 5551051116 11102102232