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241123112320 = 2752941437369
BaseRepresentation
bin1110000010010000001…
…1101011010110000000
3212001101021200020110111
43200210003223112000
512422310004043240
6302434225041104
723264153431516
oct3404403532600
9761337606414
10241123112320
1193294790142
123a893786194
1319978c8532c
14b9558c64b6
15641385a1ea
hex38240eb580

241123112320 has 256 divisors, whose sum is σ = 625146984000. Its totient is φ = 88727224320.

The previous prime is 241123112311. The next prime is 241123112333. The reversal of 241123112320 is 23211321142.

It is a junction number, because it is equal to n+sod(n) for n = 241123112291 and 241123112300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32717596 + ... + 32724964.

Almost surely, 2241123112320 is an apocalyptic number.

241123112320 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 241123112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312573492000).

241123112320 is an abundant number, since it is smaller than the sum of its proper divisors (384023871680).

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

241123112320 is a wasteful number, since it uses less digits than its factorization.

241123112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7501 (or 7489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 241123112320 its reverse (23211321142), we get a palindrome (264334433462).

The spelling of 241123112320 in words is "two hundred forty-one billion, one hundred twenty-three million, one hundred twelve thousand, three hundred twenty".