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10114410020 = 22511132272039
BaseRepresentation
bin10010110101101110…
…11010011000100100
3222002220001021011112
421122313122120210
5131203242110040
64351350524152
7505434031601
oct113267323044
928086037145
1010114410020
114320358a50
121b63366658
13c52607c00
146bd4256a8
153e2e5c365
hex25adda624

10114410020 has 72 divisors (see below), whose sum is σ = 25090793280. Its totient is φ = 3395034240.

The previous prime is 10114409999. The next prime is 10114410023. The reversal of 10114410020 is 2001441101.

10114410020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10114409977 and 10114410004.

It is not an unprimeable number, because it can be changed into a prime (10114410023) 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, 98840 + ... + 173199.

It is an arithmetic number, because the mean of its divisors is an integer number (348483240).

Almost surely, 210114410020 is an apocalyptic number.

10114410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114410020 is an abundant number, since it is smaller than the sum of its proper divisors (14976383260).

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

10114410020 is a wasteful number, since it uses less digits than its factorization.

10114410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272085 (or 272070 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10114410020 its reverse (2001441101), we get a palindrome (12115851121).

The spelling of 10114410020 in words is "ten billion, one hundred fourteen million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 715 845 1430 1690 1859 2860 3380 3718 7436 9295 18590 37180 272039 544078 1088156 1360195 2720390 2992429 3536507 5440780 5984858 7073014 11969716 14146028 14962145 17682535 29924290 35365070 38901577 45974591 59848580 70730140 77803154 91949182 155606308 183898364 194507885 229872955 389015770 459745910 505720501 778031540 919491820 1011441002 2022882004 2528602505 5057205010 10114410020