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110131420 = 225721091031
BaseRepresentation
bin1101001000001…
…11100011011100
321200020020220111
412210013203130
5211143201140
614532255404
72505046600
oct644074334
9250206814
10110131420
1157191403
1230a71564
1319a80129
14108ab500
159a067ea
hex69078dc

110131420 has 72 divisors (see below), whose sum is σ = 271766880. Its totient is φ = 37376640.

The previous prime is 110131409. The next prime is 110131433. The reversal of 110131420 is 24131011.

It is a self number, because there is not a number n which added to its sum of digits gives 110131420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106305 + ... + 107335.

It is an arithmetic number, because the mean of its divisors is an integer number (3774540).

Almost surely, 2110131420 is an apocalyptic number.

110131420 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 110131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135883440).

110131420 is an abundant number, since it is smaller than the sum of its proper divisors (161635460).

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

110131420 is a wasteful number, since it uses less digits than its factorization.

110131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 110131420 is about 10494.3518141903. The cubic root of 110131420 is about 479.3327244321.

Adding to 110131420 its reverse (24131011), we get a palindrome (134262431).

The spelling of 110131420 in words is "one hundred ten million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 109 140 196 218 245 436 490 545 763 980 1031 1090 1526 2062 2180 3052 3815 4124 5155 5341 7217 7630 10310 10682 14434 15260 20620 21364 26705 28868 36085 50519 53410 72170 101038 106820 112379 144340 202076 224758 252595 449516 505190 561895 786653 1010380 1123790 1573306 2247580 3146612 3933265 5506571 7866530 11013142 15733060 22026284 27532855 55065710 110131420