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10411144220301 = 3111772725527083
BaseRepresentation
bin1001011110000000100010…
…0011011000111010001101
31100212021222112121200010020
42113200020203120322031
52331034010410022201
634050451424332353
72123115600506436
oct227401043307215
940767875550106
1010411144220301
113354383549040
1212018bb1740b9
135a69c7548456
1427dc8b3c448d
15130c3edb7a36
hex978088d8e8d

10411144220301 has 32 divisors (see below), whose sum is σ = 16056331619328. Its totient is φ = 5930451690240.

The previous prime is 10411144220263. The next prime is 10411144220377. The reversal of 10411144220301 is 10302244111401.

It is a happy number.

It is not a de Polignac number, because 10411144220301 - 29 = 10411144219789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411144220381) by changing a digit.

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, 12355695 + ... + 13171388.

It is an arithmetic number, because the mean of its divisors is an integer number (501760363104).

Almost surely, 210411144220301 is an apocalyptic number.

10411144220301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10411144220301 is a deficient number, since it is larger than the sum of its proper divisors (5645187399027).

10411144220301 is a wasteful number, since it uses less digits than its factorization.

10411144220301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25527841.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10411144220301 its reverse (10302244111401), we get a palindrome (20713388331702).

The spelling of 10411144220301 in words is "ten trillion, four hundred eleven billion, one hundred forty-four million, two hundred twenty thousand, three hundred one".

Divisors: 1 3 11 17 33 51 187 561 727 2181 7997 12359 23991 37077 135949 407847 25527083 76581249 280797913 433960411 842393739 1301881233 4773564521 14320693563 18558189341 55674568023 204140082751 315489218797 612420248253 946467656391 3470381406767 10411144220301