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101330221110 = 23531435934273
BaseRepresentation
bin101111001011111000…
…0000111100000110110
3100200112212200120120020
41132113300013200312
53130011014033420
6114314522150010
710215025445106
oct1362760074066
9320485616506
10101330221110
1139a792a4998
121777b352306
13972b299221
144c939ab206
152980de9340
hex1797c07836

101330221110 has 128 divisors (see below), whose sum is σ = 257368928256. Its totient is φ = 25492561920.

The previous prime is 101330221081. The next prime is 101330221121. The reversal of 101330221110 is 11122033101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101330221110.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23711934 + ... + 23716206.

It is an arithmetic number, because the mean of its divisors is an integer number (2010694752).

Almost surely, 2101330221110 is an apocalyptic number.

101330221110 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 101330221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128684464128).

101330221110 is an abundant number, since it is smaller than the sum of its proper divisors (156038707146).

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

101330221110 is a wasteful number, since it uses less digits than its factorization.

101330221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101330221110 its reverse (11122033101), we get a palindrome (112452254211).

The spelling of 101330221110 in words is "one hundred one billion, three hundred thirty million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 43 62 86 93 129 155 186 215 258 310 430 465 593 645 930 1186 1290 1333 1779 2666 2965 3558 3999 4273 5930 6665 7998 8546 8895 12819 13330 17790 18383 19995 21365 25499 25638 36766 39990 42730 50998 55149 64095 76497 91915 110298 127495 128190 132463 152994 183739 183830 254990 264926 275745 367478 382485 397389 551217 551490 662315 764970 790469 794778 918695 1102434 1324630 1580938 1837390 1986945 2371407 2533889 2756085 3952345 3973890 4742814 5067778 5512170 5695909 7601667 7904690 11391818 11857035 12669445 15203334 17087727 23714070 25338890 28479545 34175454 38008335 56959090 76016670 78550559 85438635 108957227 157101118 170877270 217914454 235651677 326871681 392752795 471303354 544786135 653743362 785505590 1089572270 1178258385 1634358405 2356516770 3268716810 3377674037 6755348074 10133022111 16888370185 20266044222 33776740370 50665110555 101330221110