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241101320 = 235411131301
BaseRepresentation
bin11100101111011…
…10101000001000
3121210200012211112
432113232220020
5443210220240
635531345452
75655220205
oct1627565010
9553605745
10241101320
11114105a99
12688b2288
133ac48205
1424040cac
1516277665
hexe5eea08

241101320 has 64 divisors (see below), whose sum is σ = 561057840. Its totient is φ = 93184000.

The previous prime is 241101319. The next prime is 241101373. The reversal of 241101320 is 23101142.

241101320 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 8 ways, for example, as 16760836 + 224340484 = 4094^2 + 14978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241101295 and 241101304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184670 + ... + 185970.

Almost surely, 2241101320 is an apocalyptic number.

241101320 is a gapful number since it is divisible by the number (20) 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 241101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280528920).

241101320 is an abundant number, since it is smaller than the sum of its proper divisors (319956520).

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

241101320 is a wasteful number, since it uses less digits than its factorization.

241101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 241101320 is about 15527.4376508167. The cubic root of 241101320 is about 622.3956223547.

Adding to 241101320 its reverse (23101142), we get a palindrome (264202462).

The spelling of 241101320 in words is "two hundred forty-one million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 113 164 205 226 328 410 452 565 820 904 1130 1301 1640 2260 2602 4520 4633 5204 6505 9266 10408 13010 18532 23165 26020 37064 46330 52040 53341 92660 106682 147013 185320 213364 266705 294026 426728 533410 588052 735065 1066820 1176104 1470130 2133640 2940260 5880520 6027533 12055066 24110132 30137665 48220264 60275330 120550660 241101320