Search a number
-
+
1106782030485 = 34519143831323
BaseRepresentation
bin10000000110110001010…
…110011000101010010101
310220210210112122121120000
4100012301112120222111
5121113142144433420
62204240524001513
7142651043015115
oct20066126305225
93823715577500
101106782030485
1139742466996a
1215a603090299
13804a4ba4a71
143b7d60c5045
151dbcb0b1690
hex101b1598a95

1106782030485 has 40 divisors (see below), whose sum is σ = 2088430824480. Its totient is φ = 559216179936.

The previous prime is 1106782030483. The next prime is 1106782030507. The reversal of 1106782030485 is 5840302876011.

1106782030485 is a `hidden beast` number, since 1 + 1 + 0 + 67 + 82 + 0 + 30 + 485 = 666.

It is not a de Polignac number, because 1106782030485 - 21 = 1106782030483 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1106782030485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106782030483) 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 39 ways as a sum of consecutive naturals, for example, 71907967 + ... + 71923356.

It is an arithmetic number, because the mean of its divisors is an integer number (52210770612).

Almost surely, 21106782030485 is an apocalyptic number.

1106782030485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1106782030485 is a deficient number, since it is larger than the sum of its proper divisors (981648793995).

1106782030485 is a wasteful number, since it uses less digits than its factorization.

1106782030485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143831359 (or 143831350 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1106782030485 in words is "one trillion, one hundred six billion, seven hundred eighty-two million, thirty thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 2565 7695 143831323 431493969 719156615 1294481907 2157469845 2732795137 3883445721 6472409535 8198385411 11650337163 13663975685 19417228605 24595156233 40991927055 58251685815 73785468699 122975781165 221356406097 368927343495 1106782030485