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241201100 = 225271720269
BaseRepresentation
bin11100110000001…
…10111111001100
3121210212021201002
432120012333030
5443221413400
635533435432
75656114130
oct1630067714
9553767632
10241201100
11114173a58
126893bb78
133ac8175a
14240693c0
1516296ed5
hexe606fcc

241201100 has 72 divisors (see below), whose sum is σ = 633396960. Its totient is φ = 77829120.

The previous prime is 241201097. The next prime is 241201109. The reversal of 241201100 is 1102142.

It is not an unprimeable number, because it can be changed into a prime (241201109) 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, 1766 + ... + 22034.

It is an arithmetic number, because the mean of its divisors is an integer number (8797180).

Almost surely, 2241201100 is an apocalyptic number.

241201100 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 241201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316698480).

241201100 is an abundant number, since it is smaller than the sum of its proper divisors (392195860).

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

241201100 is a wasteful number, since it uses less digits than its factorization.

241201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307 (or 20300 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 241201100 is about 15530.6503405363. The cubic root of 241201100 is about 622.4814701774.

Adding to 241201100 its reverse (1102142), we get a palindrome (242303242).

The spelling of 241201100 in words is "two hundred forty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 20269 40538 81076 101345 141883 202690 283766 344573 405380 506725 567532 689146 709415 1013450 1378292 1418830 1722865 2026900 2412011 2837660 3445730 3547075 4824022 6891460 7094150 8614325 9648044 12060055 14188300 17228650 24120110 34457300 48240220 60300275 120600550 241201100