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241023043235100 = 223527298094892071
BaseRepresentation
bin110110110011010110001100…
…110111111110110100011100
31011121101120121021220010100210
4312303112030313332310130
5223042410143032010400
62212340242452452420
7101524224461400660
oct6663261467766434
91147346537803323
10241023043235100
116a8853314a2965
1223047a6961a110
13a4644b5b3b519
144373812a8a8a0
151cce868522950
hexdb358cdfed1c

241023043235100 has 288 divisors, whose sum is σ = 825484315622400. Its totient is φ = 53125532006400.

The previous prime is 241023043235099. The next prime is 241023043235111. The reversal of 241023043235100 is 1532340320142.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46822065 + ... + 51714135.

It is an arithmetic number, because the mean of its divisors is an integer number (2866264984800).

Almost surely, 2241023043235100 is an apocalyptic number.

241023043235100 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 241023043235100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412742157811200).

241023043235100 is an abundant number, since it is smaller than the sum of its proper divisors (584461272387300).

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

241023043235100 is a wasteful number, since it uses less digits than its factorization.

241023043235100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892933 (or 4892926 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 241023043235100 its reverse (1532340320142), we get a palindrome (242555383555242).

The spelling of 241023043235100 in words is "two hundred forty-one trillion, twenty-three billion, forty-three million, two hundred thirty-five thousand, one hundred".