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110131210020 = 2235131011397959
BaseRepresentation
bin110011010010001010…
…1001110011100100100
3101112021020022010200110
41212210111032130210
53301022042210040
6122332114013020
710646103560646
oct1464425163444
9345236263613
10110131210020
1142785219147
1219416877170
13a50174a380
14548a7ba896
152ce88b4980
hex19a454e724

110131210020 has 96 divisors (see below), whose sum is σ = 335376195840. Its totient is φ = 26840793600.

The previous prime is 110131210019. The next prime is 110131210039. The reversal of 110131210020 is 20012131011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110131209978 and 110131210005.

It is an unprimeable number.

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, 620200 + ... + 777759.

It is an arithmetic number, because the mean of its divisors is an integer number (3493502040).

Almost surely, 2110131210020 is an apocalyptic number.

110131210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110131210020 is an abundant number, since it is smaller than the sum of its proper divisors (225244985820).

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

110131210020 is a wasteful number, since it uses less digits than its factorization.

110131210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398085 (or 1398083 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 110131210020 its reverse (20012131011), we get a palindrome (130143341031).

The spelling of 110131210020 in words is "one hundred ten billion, one hundred thirty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 195 202 260 303 390 404 505 606 780 1010 1212 1313 1515 2020 2626 3030 3939 5252 6060 6565 7878 13130 15756 19695 26260 39390 78780 1397959 2795918 4193877 5591836 6989795 8387754 13979590 16775508 18173467 20969385 27959180 36346934 41938770 54520401 72693868 83877540 90867335 109040802 141193859 181734670 218081604 272602005 282387718 363469340 423581577 545204010 564775436 705969295 847163154 1090408020 1411938590 1694326308 1835520167 2117907885 2823877180 3671040334 4235815770 5506560501 7342080668 8471631540 9177600835 11013121002 18355201670 22026242004 27532802505 36710403340 55065605010 110131210020