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241005103213120 = 2651997694057631
BaseRepresentation
bin110110110011000101011111…
…100100001110101001000000
31011121022212022000120120201021
4312303011133210032221000
5223042111422410304440
62212324114351515224
7101523021061621621
oct6663053744165100
91147285260516637
10241005103213120
116a878765856914
12230444a1528b14
13a4628b717abbc
1443729d01d3a48
151cce16856584a
hexdb315f90ea40

241005103213120 has 112 divisors (see below), whose sum is σ = 604160305113600. Its totient is φ = 91318878351360.

The previous prime is 241005103213093. The next prime is 241005103213187. The reversal of 241005103213120 is 21312301500142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57366705 + ... + 61424335.

Almost surely, 2241005103213120 is an apocalyptic number.

241005103213120 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 241005103213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302080152556800).

241005103213120 is an abundant number, since it is smaller than the sum of its proper divisors (363155201900480).

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

241005103213120 is a wasteful number, since it uses less digits than its factorization.

241005103213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067436 (or 4067426 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 241005103213120 its reverse (21312301500142), we get a palindrome (262317404713262).

The spelling of 241005103213120 in words is "two hundred forty-one trillion, five billion, one hundred three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 9769 19538 39076 48845 78152 97690 156304 185611 195380 312608 371222 390760 625216 742444 781520 928055 1484888 1563040 1856110 2969776 3126080 3712220 4057631 5939552 7424440 8115262 11879104 14848880 16230524 20288155 29697760 32461048 40576310 59395520 64922096 77094989 81152620 129844192 154189978 162305240 259688384 308379956 324610480 385474945 616759912 649220960 770949890 1233519824 1298441920 1541899780 2467039648 3083799560 4934079296 6167599120 12335198240 24670396480 39638997239 79277994478 158555988956 198194986195 317111977912 396389972390 634223955824 753140947541 792779944780 1268447911648 1506281895082 1585559889560 2536895823296 3012563790164 3171119779120 3765704737705 6025127580328 6342239558240 7531409475410 12050255160656 12684479116480 15062818950820 24100510321312 30125637901640 48201020642624 60251275803280 120502551606560 241005103213120