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241321522002 = 231173138136269
BaseRepresentation
bin1110000010111111100…
…0100011001101010010
3212001220010000111101020
43200233320203031102
512423211302201002
6302510033420310
723302113043431
oct3405770431522
9761803014336
10241321522002
1193386787290
123a92a10a696
13199ab103802
14b973db3118
156425e9d2bc
hex382fe23352

241321522002 has 64 divisors (see below), whose sum is σ = 534133491840. Its totient is φ = 72071769600.

The previous prime is 241321521979. The next prime is 241321522061. The reversal of 241321522002 is 200225123142.

241321522002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6635524 + ... + 6671792.

It is an arithmetic number, because the mean of its divisors is an integer number (8345835810).

Almost surely, 2241321522002 is an apocalyptic number.

241321522002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 241321522002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267066745920).

241321522002 is an abundant number, since it is smaller than the sum of its proper divisors (292811969838).

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

241321522002 is a wasteful number, since it uses less digits than its factorization.

241321522002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37739.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 241321522002 its reverse (200225123142), we get a palindrome (441546645144).

The spelling of 241321522002 in words is "two hundred forty-one billion, three hundred twenty-one million, five hundred twenty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1381 1606 2409 2762 4143 4818 8286 15191 30382 36269 45573 72538 91146 100813 108807 201626 217614 302439 398959 604878 797918 1108943 1196877 2217886 2393754 2647637 3326829 5295274 6653658 7942911 15885822 29124007 50087489 58248014 87372021 100174978 150262467 174744042 300524934 550962379 1101924758 1652887137 3305774274 3656386697 7312773394 10969160091 21938320182 40220253667 80440507334 120660761001 241321522002