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14311205235105 = 3517535917947673
BaseRepresentation
bin1101000001000001011001…
…0011011110100110100001
31212200010201111110220101020
43100100112103132212201
53333433322020010410
650234251003200053
73004644002246022
oct320202623364641
955603644426336
1014311205235105
114618391298969
121731735816029
137ca70537828c
14376947826c49
1519c40218ba70
hexd04164de9a1

14311205235105 has 64 divisors (see below), whose sum is σ = 25121000344320. Its totient is φ = 6928662880256.

The previous prime is 14311205235073. The next prime is 14311205235109. The reversal of 14311205235105 is 50153250211341.

It is a cyclic number.

It is not a de Polignac number, because 14311205235105 - 25 = 14311205235073 is a prime.

It is a super-2 number, since 2×143112052351052 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14311205235109) 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 63 ways as a sum of consecutive naturals, for example, 8176452 + ... + 9771221.

It is an arithmetic number, because the mean of its divisors is an integer number (392515630380).

Almost surely, 214311205235105 is an apocalyptic number.

14311205235105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14311205235105 is a deficient number, since it is larger than the sum of its proper divisors (10809795109215).

14311205235105 is a wasteful number, since it uses less digits than its factorization.

14311205235105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17947810.

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 14311205235105 its reverse (50153250211341), we get a palindrome (64464455446446).

The spelling of 14311205235105 in words is "fourteen trillion, three hundred eleven billion, two hundred five million, two hundred thirty-five thousand, one hundred five".

Divisors: 1 3 5 15 17 51 53 59 85 159 177 255 265 295 795 885 901 1003 2703 3009 3127 4505 5015 9381 13515 15045 15635 46905 53159 159477 265795 797385 17947673 53843019 89738365 269215095 305110441 915331323 951226669 1058912707 1525552205 2853680007 3176738121 4576656615 4756133345 5294563535 14268400035 15883690605 16170853373 18001516019 48512560119 54004548057 56122373471 80854266865 90007580095 168367120413 242562800595 270022740285 280611867355 841835602065 954080349007 2862241047021 4770401745035 14311205235105