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241103311401132 = 223799232777483
BaseRepresentation
bin110110110100100000111101…
…001110101111000010101100
31011121200020210022121110000000
4312310200331032233002230
5223100214040204314012
62212441155430104300
7101533065550504515
oct6664407516570254
91147606708543000
10241103311401132
116a906381810064
122305b52b1ab090
13a46bc386a645b
1443776692ada0c
151cd19b5312ddc
hexdb483d3af0ac

241103311401132 has 96 divisors (see below), whose sum is σ = 632863727919360. Its totient is φ = 80359642394064.

The previous prime is 241103311401089. The next prime is 241103311401167. The reversal of 241103311401132 is 231104113301142.

241103311401132 is a `hidden beast` number, since 2 + 4 + 110 + 3 + 3 + 11 + 401 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 241103311401096 and 241103311401105.

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, 85417663 + ... + 88195145.

It is an arithmetic number, because the mean of its divisors is an integer number (6592330499160).

Almost surely, 2241103311401132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241103311401132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316431863959680).

241103311401132 is an abundant number, since it is smaller than the sum of its proper divisors (391760416518228).

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

241103311401132 is an equidigital number, since it uses as much as digits as its factorization.

241103311401132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787431 (or 2787411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 241103311401132 its reverse (231104113301142), we get a palindrome (472207424702274).

The spelling of 241103311401132 in words is "two hundred forty-one trillion, one hundred three billion, three hundred eleven million, four hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 9923 19846 29769 39692 59538 89307 119076 178614 267921 357228 535842 803763 1071684 1607526 2411289 2777483 3215052 4822578 5554966 7233867 8332449 9645156 11109932 14467734 16664898 21701601 24997347 28935468 33329796 43403202 49994694 74992041 86806404 99989388 149984082 224976123 299968164 449952246 674928369 899904492 1349856738 2024785107 2699713476 4049570214 6074355321 8099140428 12148710642 24297421284 27560963809 55121927618 82682891427 110243855236 165365782854 248048674281 330731565708 496097348562 744146022843 992194697124 1488292045686 2232438068529 2976584091372 4464876137058 6697314205587 8929752274116 13394628411174 20091942616761 26789256822348 40183885233522 60275827850283 80367770467044 120551655700566 241103311401132