Search a number
-
+
110404031220 = 223257101867547
BaseRepresentation
bin110011011010010010…
…1111101001011110100
3101112222020122220000100
41212310211331023310
53302101412444340
6122415141314100
710655625532020
oct1466445751364
9345866586010
10110404031220
114290521980a
1219492105930
13a546120332
1454b4b17380
152d12805830
hex19b497d2f4

110404031220 has 144 divisors (see below), whose sum is σ = 386523865728. Its totient is φ = 24985324800.

The previous prime is 110404031203. The next prime is 110404031293. The reversal of 110404031220 is 22130404011.

110404031220 is a `hidden beast` number, since 1 + 1 + 0 + 40 + 403 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110404031193 and 110404031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306514 + ... + 561033.

It is an arithmetic number, because the mean of its divisors is an integer number (2684193512).

Almost surely, 2110404031220 is an apocalyptic number.

110404031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110404031220 is an abundant number, since it is smaller than the sum of its proper divisors (276119834508).

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

110404031220 is a wasteful number, since it uses less digits than its factorization.

110404031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867670 (or 867665 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110404031220 its reverse (22130404011), we get a palindrome (132534435231).

The spelling of 110404031220 in words is "one hundred ten billion, four hundred four million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1212 1260 1414 1515 1818 2020 2121 2828 3030 3535 3636 4242 4545 6060 6363 7070 8484 9090 10605 12726 14140 18180 21210 25452 31815 42420 63630 127260 867547 1735094 2602641 3470188 4337735 5205282 6072829 7807923 8675470 10410564 12145658 13013205 15615846 17350940 18218487 24291316 26026410 30364145 31231692 36436974 39039615 52052820 54655461 60728290 72873948 78079230 87622247 91092435 109310922 121456580 156158460 175244494 182184870 218621844 262866741 273277305 350488988 364369740 438111235 525733482 546554610 613355729 788600223 876222470 1051466964 1093109220 1226711458 1314333705 1577200446 1752444940 1840067187 2453422916 2628667410 3066778645 3154400892 3680134374 3943001115 5257334820 5520201561 6133557290 7360268748 7886002230 9200335935 11040403122 12267114580 15772004460 18400671870 22080806244 27601007805 36801343740 55202015610 110404031220