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110123231020 = 225111015878443
BaseRepresentation
bin110011010001111011…
…0110010011100101100
3101112020200021202112221
41212203312302130230
53301013021343040
6122331231005124
710645646006365
oct1464366623454
9345220252487
10110123231020
1142780769430
12194140697a4
13a4ccbb567a
145489700b6c
152ce7d3a74a
hex19a3db272c

110123231020 has 96 divisors (see below), whose sum is σ = 255244421376. Its totient is φ = 39576096000.

The previous prime is 110123230979. The next prime is 110123231027. The reversal of 110123231020 is 20132321011.

It is a junction number, because it is equal to n+sod(n) for n = 110123230985 and 110123231003.

It is not an unprimeable number, because it can be changed into a prime (110123231027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13038919 + ... + 13047361.

It is an arithmetic number, because the mean of its divisors is an integer number (2658796056).

Almost surely, 2110123231020 is an apocalyptic number.

110123231020 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 110123231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127622210688).

110123231020 is an abundant number, since it is smaller than the sum of its proper divisors (145121190356).

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

110123231020 is a wasteful number, since it uses less digits than its factorization.

110123231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110123231020 its reverse (20132321011), we get a palindrome (130255552031).

It can be divided in two parts, 110123 and 231020, that added together give a palindrome (341143).

The spelling of 110123231020 in words is "one hundred ten billion, one hundred twenty-three million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 587 1010 1111 1174 2020 2222 2348 2935 4444 5555 5870 6457 8443 11110 11740 12914 16886 22220 25828 32285 33772 42215 59287 64570 84430 92873 118574 129140 168860 185746 237148 296435 371492 464365 592870 652157 852743 928730 1185740 1304314 1705486 1857460 2608628 3260785 3410972 4263715 4956041 6521570 8527430 9380173 9912082 13043140 17054860 18760346 19824164 24780205 37520692 46900865 49560410 54516451 93801730 99120820 109032902 187603460 218065804 272582255 500560141 545164510 1001120282 1090329020 2002240564 2502800705 5005601410 5506161551 10011202820 11012323102 22024646204 27530807755 55061615510 110123231020