Search a number
-
+
110010230221100 = 2252111947137111667
BaseRepresentation
bin11001000000110111000000…
…101100011010100100101100
3112102111212122002111212012212
4121000313000230122210230
5103404401422414033400
61025550000240545552
732112656026125206
oct3100670054324454
9472455562455185
10110010230221100
1132064092aa9780
12104088776222b8
13494cbc6897721
141d247488b1776
15cab9428e9335
hex640dc0b1a92c

110010230221100 has 144 divisors (see below), whose sum is σ = 274139026062720. Its totient is φ = 37897117747200.

The previous prime is 110010230221093. The next prime is 110010230221103. The reversal of 110010230221100 is 1122032010011.

It is not an unprimeable number, because it can be changed into a prime (110010230221103) 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 47 ways as a sum of consecutive naturals, for example, 985107467 + ... + 985219133.

Almost surely, 2110010230221100 is an apocalyptic number.

110010230221100 is a gapful number since it is divisible by the number (10) 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 110010230221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137069513031360).

110010230221100 is an abundant number, since it is smaller than the sum of its proper divisors (164128795841620).

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

110010230221100 is a wasteful number, since it uses less digits than its factorization.

110010230221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158848 (or 158841 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 110010230221100 its reverse (1122032010011), we get a palindrome (111132262231111).

The spelling of 110010230221100 in words is "one hundred ten trillion, ten billion, two hundred thirty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 47137 94274 111667 188548 223334 235685 446668 471370 518507 558335 895603 942740 1037014 1116670 1178425 1228337 1791206 2074028 2121673 2233340 2356850 2456674 2592535 2791675 3582412 4243346 4478015 4713700 4913348 5185070 5583350 6141685 8486692 8956030 9851633 10370140 10608365 11166700 12283370 12962675 17912060 19703266 21216730 22390075 23338403 24566740 25925350 30708425 39406532 42433460 44780150 46676806 49258165 51850700 53041825 61416850 89560300 93353612 98516330 106083650 116692015 122833700 197032660 212167300 233384030 246290825 466768060 492581650 583460075 985163300 1166920150 2333840300 5263647379 10527294758 21054589516 26318236895 52636473790 57900121169 100009300201 105272947580 115800242338 131591184475 200018600402 231600484676 263182368950 289500605845 400037200804 500046501005 526364737900 579001211690 1000093002010 1100102302211 1158002423380 1447503029225 2000186004020 2200204604422 2500232505025 2895006058450 4400409208844 5000465010050 5500511511055 5790012116900 10000930020100 11001023022110 22002046044220 27502557555275 55005115110550 110010230221100