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105143341501 = 1119836061183
BaseRepresentation
bin110000111101100001…
…0000001000110111101
3101001101121202011101101
41201323002001012331
53210313143412001
6120145134413101
710411356441142
oct1417302010675
9331347664341
10105143341501
1140655747760
1218464361191
139bb8278593
1451361963c9
152b05a57a01
hex187b0811bd

105143341501 has 16 divisors (see below), whose sum is σ = 122193469440. Its totient is φ = 89463046320.

The previous prime is 105143341489. The next prime is 105143341553.

105143341501 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 105143341501 - 25 = 105143341469 is a prime.

It is a super-2 number, since 2×1051433415012 (a number of 23 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 105143341501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105143341571) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3013245 + ... + 3047938.

It is an arithmetic number, because the mean of its divisors is an integer number (7637091840).

Almost surely, 2105143341501 is an apocalyptic number.

105143341501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105143341501 is a deficient number, since it is larger than the sum of its proper divisors (17050127939).

105143341501 is a wasteful number, since it uses less digits than its factorization.

105143341501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061296.

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 105143 and 341501, that added together give a palindrome (446644).

The spelling of 105143341501 in words is "one hundred five billion, one hundred forty-three million, three hundred forty-one thousand, five hundred one".

Divisors: 1 11 19 83 209 913 1577 17347 6061183 66673013 115162477 503078189 1266787247 5533860079 9558485591 105143341501