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1241112420 = 2232529733257
BaseRepresentation
bin100100111111001…
…1101111101100100
310012111101001011200
41021332131331210
510020211044140
6323053202500
742520165362
oct11176357544
93174331150
101241112420
11587637149
122a7790430
1316a18a462
14bab92632
1573e5c030
hex49f9df64

1241112420 has 144 divisors (see below), whose sum is σ = 3949086960. Its totient is φ = 315076608.

The previous prime is 1241112419. The next prime is 1241112487. The reversal of 1241112420 is 242111421.

1241112420 is a `hidden beast` number, since 1 + 241 + 1 + 1 + 2 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37161216 + 1203951204 = 6096^2 + 34698^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1241112393 and 1241112402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379432 + ... + 382688.

It is an arithmetic number, because the mean of its divisors is an integer number (27424215).

Almost surely, 21241112420 is an apocalyptic number.

1241112420 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 1241112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974543480).

1241112420 is an abundant number, since it is smaller than the sum of its proper divisors (2707974540).

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

1241112420 is a wasteful number, since it uses less digits than its factorization.

1241112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1241112420 is about 35229.4254849550. The cubic root of 1241112420 is about 1074.6582421821.

Adding to 1241112420 its reverse (242111421), we get a palindrome (1483223841).

Subtracting from 1241112420 its reverse (242111421), we obtain a palindrome (999000999).

The spelling of 1241112420 in words is "one billion, two hundred forty-one million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 73 87 90 116 145 146 174 180 219 261 290 292 348 365 435 438 522 580 657 730 870 876 1044 1095 1305 1314 1460 1740 2117 2190 2610 2628 3257 3285 4234 4380 5220 6351 6514 6570 8468 9771 10585 12702 13028 13140 16285 19053 19542 21170 25404 29313 31755 32570 38106 39084 42340 48855 58626 63510 65140 76212 94453 95265 97710 117252 127020 146565 188906 190530 195420 237761 283359 293130 377812 381060 472265 475522 566718 586260 713283 850077 944530 951044 1133436 1188805 1416795 1426566 1700154 1889060 2139849 2377610 2833590 2853132 3400308 3566415 4250385 4279698 4755220 5667180 6895069 7132830 8500770 8559396 10699245 13790138 14265660 17001540 20685207 21398490 27580276 34475345 41370414 42796980 62055621 68950690 82740828 103426035 124111242 137901380 206852070 248222484 310278105 413704140 620556210 1241112420