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241005220100424 = 23321310117923396089
BaseRepresentation
bin110110110011000101100110…
…100010000111100101001000
31011121022212121011112001221200
4312303011212202013211020
5223042112142321203144
62212324134125104200
7101523024011300133
oct6663054642074510
91147285534461850
10241005220100424
116a878815831a9a
12230445146b8060
13a4629054550a0
144372a0193d21a
151cce173953c69
hexdb3166887948

241005220100424 has 384 divisors, whose sum is σ = 714279973680000. Its totient is φ = 72967865241600.

The previous prime is 241005220100383. The next prime is 241005220100431. The reversal of 241005220100424 is 424001022500142.

It is a happy number.

241005220100424 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 0 + 5 + 220 + 10 + 0 + 424 = 666.

It is a super-2 number, since 2×2410052201004242 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39580423972 + ... + 39580430060.

It is an arithmetic number, because the mean of its divisors is an integer number (1860104098125).

Almost surely, 2241005220100424 is an apocalyptic number.

241005220100424 is a gapful number since it is divisible by the number (24) 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 241005220100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357139986840000).

241005220100424 is an abundant number, since it is smaller than the sum of its proper divisors (473274753579576).

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

241005220100424 is a wasteful number, since it uses less digits than its factorization.

241005220100424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8733 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 241005220100424 its reverse (424001022500142), we get a palindrome (665006242600566).

The spelling of 241005220100424 in words is "two hundred forty-one trillion, five billion, two hundred twenty million, one hundred thousand, four hundred twenty-four".