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14131122113141 = 113156937279157
BaseRepresentation
bin1100110110100010100010…
…0000111000101001110101
31212000220220012022110020022
43031220220200320221311
53323011014230110031
650015425313014525
72655640244050565
oct315505040705165
955026805273208
1014131122113141
114558a80042a50
121702858254445
137b673644c647
1436bd42990da5
151978b251497b
hexcda28838a75

14131122113141 has 16 divisors (see below), whose sum is σ = 15915849850368. Its totient is φ = 12429886785600.

The previous prime is 14131122113117. The next prime is 14131122113159.

14131122113141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14131122113141 - 218 = 14131121850997 is a prime.

It is a super-2 number, since 2×141311221131412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14131122113141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131122113041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698266 + ... + 5580891.

It is an arithmetic number, because the mean of its divisors is an integer number (994740615648).

Almost surely, 214131122113141 is an apocalyptic number.

14131122113141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14131122113141 is a deficient number, since it is larger than the sum of its proper divisors (1784727737227).

14131122113141 is a wasteful number, since it uses less digits than its factorization.

14131122113141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284892.

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 1413112 and 2113141, that added together give a palindrome (3526253).

The spelling of 14131122113141 in words is "fourteen trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 11 31 341 5693 62623 176483 1941313 7279157 80070727 225653867 2482192537 41440240801 455842648811 1284647464831 14131122113141