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10110230020 = 22511237112913
BaseRepresentation
bin10010110101001110…
…11101111000000100
3222002121011220021201
421122213131320010
5131201204330040
64351121152244
7505353352162
oct113247357004
928077156251
1010110230020
114318a63500
121b61a8b684
13c517a3437
146bca58232
153e28d3a9a
hex25a9dde04

10110230020 has 72 divisors (see below), whose sum is σ = 23968028952. Its totient is φ = 3577052160.

The previous prime is 10110229993. The next prime is 10110230023. The reversal of 10110230020 is 2003201101.

10110230020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4425974784 + 5684255236 = 66528^2 + 75394^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10110229979 and 10110230006.

It is not an unprimeable number, because it can be changed into a prime (10110230023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33084 + ... + 145996.

It is an arithmetic number, because the mean of its divisors is an integer number (332889291).

Almost surely, 210110230020 is an apocalyptic number.

10110230020 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 10110230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984014476).

10110230020 is an abundant number, since it is smaller than the sum of its proper divisors (13857798932).

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

10110230020 is a wasteful number, since it uses less digits than its factorization.

10110230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112981 (or 112968 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10110230020 its reverse (2003201101), we get a palindrome (12113431121).

The spelling of 10110230020 in words is "ten billion, one hundred ten million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1628 2035 2420 4070 4477 8140 8954 17908 22385 44770 89540 112913 225826 451652 564565 1129130 1242043 2258260 2484086 4177781 4968172 6210215 8355562 12420430 13662473 16711124 20888905 24840860 27324946 41777810 45955591 54649892 68312365 83555620 91911182 136624730 183822364 229777955 273249460 459555910 505511501 919111820 1011023002 2022046004 2527557505 5055115010 10110230020