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241001023305 = 35715720537121
BaseRepresentation
bin1110000001110011000…
…1111100011101001001
3212001001202221110211010
43200130301330131021
512422032230221210
6302414144154133
723261141620050
oct3403461743511
9761052843733
10241001023305
1193231881929
123a85a908949
13199598a9603
14b9435c5397
156407c90920
hex381cc7c749

241001023305 has 64 divisors (see below), whose sum is σ = 443772845568. Its totient is φ = 109401477120.

The previous prime is 241001023283. The next prime is 241001023343. The reversal of 241001023305 is 503320100142.

241001023305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241001023305 - 25 = 241001023273 is a prime.

It is a super-3 number, since 3×2410010233053 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 33840145 + ... + 33847265.

It is an arithmetic number, because the mean of its divisors is an integer number (6933950712).

Almost surely, 2241001023305 is an apocalyptic number.

It is an amenable number.

241001023305 is a deficient number, since it is larger than the sum of its proper divisors (202771822263).

241001023305 is a wasteful number, since it uses less digits than its factorization.

241001023305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9346.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 241001023305 its reverse (503320100142), we get a palindrome (744321123447).

The spelling of 241001023305 in words is "two hundred forty-one billion, one million, twenty-three thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 105 157 471 785 1099 2053 2355 3297 5495 6159 7121 10265 14371 16485 21363 30795 35605 43113 49847 71855 106815 149541 215565 249235 322321 747705 966963 1117997 1611605 2256247 3353991 4834815 5589985 6768741 7825979 11281235 14619413 16769955 23477937 33843705 39129895 43858239 73097065 102335891 117389685 219291195 307007673 511679455 1535038365 2295247841 6885743523 11476239205 16066734887 34428717615 48200204661 80333674435 241001023305