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134443310001 = 3711133710971103
BaseRepresentation
bin111110100110101110…
…0100001101110110001
3110212000120210210001220
41331031130201232301
54200314441410001
6141432402415253
712466426164630
oct1751534415661
9425016723056
10134443310001
115202081a760
1222080961529
13c8a75bcb50
146715659517
15376cea4c36
hex1f4d721bb1

134443310001 has 128 divisors (see below), whose sum is σ = 247636279296. Its totient is φ = 62611937280.

The previous prime is 134443309999. The next prime is 134443310009. The reversal of 134443310001 is 100013344431.

It is not a de Polignac number, because 134443310001 - 21 = 134443309999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134443310009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121888216 + ... + 121889318.

It is an arithmetic number, because the mean of its divisors is an integer number (1934658432).

Almost surely, 2134443310001 is an apocalyptic number.

134443310001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

134443310001 is a deficient number, since it is larger than the sum of its proper divisors (113192969295).

134443310001 is a wasteful number, since it uses less digits than its factorization.

134443310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134443310001 its reverse (100013344431), we get a palindrome (234456654432).

It can be divided in two parts, 134443 and 310001, that added together give a palindrome (444444).

The spelling of 134443310001 in words is "one hundred thirty-four billion, four hundred forty-three million, three hundred ten thousand, one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1097 1103 1221 1443 2849 3003 3291 3309 3367 5291 7679 7721 8547 10101 12067 12133 14261 14339 15873 23037 23163 36201 36399 37037 40589 40811 42783 43017 84469 84931 99827 100373 111111 121767 122433 156871 157729 253407 254793 284123 285677 299481 301119 446479 448921 470613 473187 527657 530543 852369 857031 1098097 1104103 1209991 1339437 1346763 1582971 1591629 3125353 3142447 3294291 3312309 3629973 3693599 3713801 5804227 5835973 8469937 9376059 9427341 11080797 11141403 13309901 15729883 17412681 17507919 25409811 39929703 40629589 40851811 44769667 47189649 93169307 110109181 121888767 122555433 134309001 173028713 279507921 313387669 330327543 492466337 519086139 582005671 940163007 1211200991 1477399011 1746017013 3447264359 3633602973 4074039697 6402062381 10341793077 12222119091 19206187143 44814436667 134443310001