Search a number
-
+
105441350520 = 23351127261801
BaseRepresentation
bin110001000110011001…
…0110101001101111000
3101002011101111120220110
41202030302311031320
53211420441204040
6120234502024320
710421635456122
oct1421462651570
9332141446813
10105441350520
1140798991300
12185281180a0
139c34c2a08c
1451639ac212
152b21cc1980
hex188ccb5378

105441350520 has 96 divisors (see below), whose sum is σ = 347695079760. Its totient is φ = 25561536000.

The previous prime is 105441350519. The next prime is 105441350527. The reversal of 105441350520 is 25053144501.

It is a super-2 number, since 2×1054413505202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105441350527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3616381 + ... + 3645420.

Almost surely, 2105441350520 is an apocalyptic number.

105441350520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105441350520 is an abundant number, since it is smaller than the sum of its proper divisors (242253729240).

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

105441350520 is a wasteful number, since it uses less digits than its factorization.

105441350520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261837 (or 7261822 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 105441350520 in words is "one hundred five billion, four hundred forty-one million, three hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 7261801 14523602 21785403 29047204 36309005 43570806 58094408 72618010 79879811 87141612 108927015 145236020 159759622 174283224 217854030 239639433 290472040 319519244 399399055 435708060 479278866 639038488 798798110 871416120 878677921 958557732 1198197165 1597596220 1757355842 1917115464 2396394330 2636033763 3195192440 3514711684 4393389605 4792788660 5272067526 7029423368 8786779210 9585577320 10544135052 13180168815 17573558420 21088270104 26360337630 35147116840 52720675260 105441350520