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13444441101 = 337213372571
BaseRepresentation
bin11001000010101100…
…11110010000001101
31021200222002101001000
430201112132100031
5210013234103401
610102025010513
7654110602200
oct144126362015
937628071030
1013444441101
11577a044653
122732623a39
1313634a33c0
149177bb937
1553a493186
hex32159e40d

13444441101 has 144 divisors (see below), whose sum is σ = 25689343680. Its totient is φ = 6887825280.

The previous prime is 13444441081. The next prime is 13444441111. The reversal of 13444441101 is 10114444431.

It is not a de Polignac number, because 13444441101 - 29 = 13444440589 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444441111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23545146 + ... + 23545716.

It is an arithmetic number, because the mean of its divisors is an integer number (178398220).

Almost surely, 213444441101 is an apocalyptic number.

It is an amenable number.

13444441101 is a deficient number, since it is larger than the sum of its proper divisors (12244902579).

13444441101 is a wasteful number, since it uses less digits than its factorization.

13444441101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13444441101 its reverse (10114444431), we get a palindrome (23558885532).

The spelling of 13444441101 in words is "thirteen billion, four hundred forty-four million, four hundred forty-one thousand, one hundred one".

Divisors: 1 3 7 9 13 21 27 37 39 49 63 91 111 117 147 189 259 273 333 351 441 481 571 637 777 819 999 1323 1369 1443 1713 1813 1911 2331 2457 3367 3997 4107 4329 5139 5439 5733 6993 7423 9583 10101 11991 12321 12987 15417 16317 17199 17797 21127 22269 23569 27979 28749 30303 35973 36963 48951 51961 53391 63381 66807 67081 70707 83937 86247 90909 107919 124579 147889 155883 160173 190143 200421 201243 212121 251811 258741 274651 363727 373737 443667 467649 480519 570429 603729 636363 755433 781699 823953 872053 1035223 1091181 1121211 1331001 1402947 1811187 1922557 2345097 2471859 2616159 3105669 3273543 3363633 3993003 5471893 5767671 7035291 7415577 7848477 9317007 9820629 10162087 13457899 16415679 17303013 21105873 23545431 27951021 30486261 38303251 40373697 49247037 51909039 71134609 91458783 114909753 121121091 147741111 213403827 274376349 344729259 363363273 497942263 640211481 1034187777 1493826789 1920634443 4481480367 13444441101