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241223100231120 = 243572138114853127
BaseRepresentation
bin110110110110010000100001…
…001100110110110111010000
31011122002200222121102111200220
4312312100201030312313100
5223104144402124343440
62213012210140313040
7101544536203661100
oct6666204114666720
91148080877374626
10241223100231120
116a952162453007
122307a7a0242780
13a47a318bc5247
14437d390567200
151cd4b769a48d0
hexdb6421336dd0

241223100231120 has 240 divisors, whose sum is σ = 870509986973568. Its totient is φ = 55096779709440.

The previous prime is 241223100231083. The next prime is 241223100231121. The reversal of 241223100231120 is 21132001322142.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2412231002311203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241223100231121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8813997 + ... + 23667123.

Almost surely, 2241223100231120 is an apocalyptic number.

241223100231120 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 241223100231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435254993486784).

241223100231120 is an abundant number, since it is smaller than the sum of its proper divisors (629286886742448).

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

241223100231120 is a wasteful number, since it uses less digits than its factorization.

241223100231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14854538 (or 14854525 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 241223100231120 its reverse (21132001322142), we get a palindrome (262355101553262).

The spelling of 241223100231120 in words is "two hundred forty-one trillion, two hundred twenty-three billion, one hundred million, two hundred thirty-one thousand, one hundred twenty".