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14310120106065 = 3571731997259387
BaseRepresentation
bin1101000000111101010110…
…1000000010100001010001
31212200000220212121122011210
43100033111220002201101
53333424111221343230
650233551201130333
73004605054640350
oct320172550024121
955600825548153
1014310120106065
114617984810403
1217314923299a9
137ca5916032a4
14376883679997
1519c38bc91eb0
hexd03d5a02851

14310120106065 has 128 divisors (see below), whose sum is σ = 28628865220608. Its totient is φ = 5952348426240.

The previous prime is 14310120105979. The next prime is 14310120106111. The reversal of 14310120106065 is 56060102101341.

It is a happy number.

It is not a de Polignac number, because 14310120106065 - 212 = 14310120101969 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55039302 + ... + 55298688.

It is an arithmetic number, because the mean of its divisors is an integer number (223663009536).

Almost surely, 214310120106065 is an apocalyptic number.

14310120106065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14310120106065 is an abundant number, since it is smaller than the sum of its proper divisors (14318745114543).

14310120106065 is a wasteful number, since it uses less digits than its factorization.

14310120106065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260447.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 14310120106065 in words is "fourteen trillion, three hundred ten billion, one hundred twenty million, one hundred six thousand, sixty-five".

Divisors: 1 3 5 7 15 17 21 31 35 51 85 93 105 119 155 217 255 357 465 527 595 651 997 1085 1581 1785 2635 2991 3255 3689 4985 6979 7905 11067 14955 16949 18445 20937 30907 34895 50847 55335 84745 92721 104685 118643 154535 216349 254235 259387 355929 463605 525419 593215 649047 778161 1081745 1296935 1576257 1779645 1815709 2627095 3245235 3677933 3890805 4409579 5447127 7881285 8040997 9078545 11033799 13228737 18389665 22047895 24122991 27235635 30867053 40204985 55168995 56286979 66143685 92601159 120614955 136696949 154335265 168860937 258608839 281434895 410090847 463005795 683484745 775826517 844304685 956878643 1293044195 1810261873 2050454235 2870635929 3879132585 4396350263 4784393215 5430785619 8016874009 9051309365 13189050789 14353179645 21981751315 24050622027 27153928095 30774451841 40084370045 56118118063 65945253945 92323355523 120253110135 136286858153 153872259205 168354354189 280590590315 408860574459 461616777615 681434290765 841771770945 954008007071 2044302872295 2862024021213 4770040035355 14310120106065