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103440444114111 = 313231013735635437
BaseRepresentation
bin10111100001010000011010…
…111011010100010010111111
3111120020210212101220001020220
4113201100122323110102333
5102024232012143122421
61003555514540112423
730534216430454436
oct2741203273242277
9446223771801226
10103440444114111
112aa60934019845
12b72754b535713
134594513382340
141b7878944411d
15be5acb3bd3c6
hex5e141aed44bf

103440444114111 has 128 divisors (see below), whose sum is σ = 157249527773184. Its totient is φ = 60005716531200.

The previous prime is 103440444114071. The next prime is 103440444114131. The reversal of 103440444114111 is 111411444044301.

It is not a de Polignac number, because 103440444114111 - 233 = 103431854179519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103440444114131) 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, 19025276685 + ... + 19025282121.

It is an arithmetic number, because the mean of its divisors is an integer number (1228511935728).

Almost surely, 2103440444114111 is an apocalyptic number.

103440444114111 is a deficient number, since it is larger than the sum of its proper divisors (53809083659073).

103440444114111 is a wasteful number, since it uses less digits than its factorization.

103440444114111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513.

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 103440444114111 its reverse (111411444044301), we get a palindrome (214851888158412).

The spelling of 103440444114111 in words is "one hundred three trillion, four hundred forty billion, four hundred forty-four million, one hundred fourteen thousand, one hundred eleven".

Divisors: 1 3 13 23 39 69 101 299 303 373 563 897 1119 1313 1689 2323 3939 4849 5437 6969 7319 8579 12949 14547 16311 21957 25737 30199 37673 38847 56863 70681 90597 111527 113019 125051 168337 170589 209999 212043 334581 375153 489749 505011 549137 629997 739219 866479 1307849 1469247 1625663 1647411 2028001 2217657 2599437 2729987 3061031 3923547 4829977 4876989 6084003 7138781 8189961 9183093 11264227 12630151 14489931 17002037 21209899 21416343 26364013 33792681 37890453 39793403 46644023 51006111 62789701 63629697 70403713 79092039 119380209 139932069 164191963 188369103 204828101 211211139 275728687 309164131 487827677 492575889 606372299 614484303 827186061 915248269 927492393 1141764563 1463483031 1819116897 2662765313 2745744807 3425293689 4019133703 4711046323 6341759801 7110775013 7988295939 12057401109 14133138969 14842939319 19025279403 21332325039 26260584949 44528817957 61243602199 78781754847 92440075169 115318220863 183730806597 277320225507 341387604337 345954662589 1024162813011 1499136871219 2652319079849 4497410613657 7956957239547 34480148038037 103440444114111