Search a number
-
+
103200463541 = 733159164503
BaseRepresentation
bin110000000011100111…
…0100001101010110101
3100212101012212201212102
41200013032201222311
53142323304313131
6115224252031445
710312255316000
oct1400716415265
9325335781772
10103200463541
113a848a7579a
1218001762585
1399688b1256
144dd012a537
152a401ca1cb
hex18073a1ab5

103200463541 has 32 divisors (see below), whose sum is σ = 126339072000. Its totient is φ = 84152643120.

The previous prime is 103200463523. The next prime is 103200463559. The reversal of 103200463541 is 145364002301.

It is an interprime number because it is at equal distance from previous prime (103200463523) and next prime (103200463559).

It is not a de Polignac number, because 103200463541 - 230 = 102126721717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200463511) 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 31 ways as a sum of consecutive naturals, for example, 545096 + ... + 709598.

It is an arithmetic number, because the mean of its divisors is an integer number (3948096000).

Almost surely, 2103200463541 is an apocalyptic number.

It is an amenable number.

103200463541 is a deficient number, since it is larger than the sum of its proper divisors (23138608459).

103200463541 is an equidigital number, since it uses as much as digits as its factorization.

103200463541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164614 (or 164600 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 103200463541 its reverse (145364002301), we get a palindrome (248564465842).

The spelling of 103200463541 in words is "one hundred three billion, two hundred million, four hundred sixty-three thousand, five hundred forty-one".

Divisors: 1 7 31 49 59 217 343 413 1519 1829 2891 10633 12803 20237 89621 164503 627347 1151521 5099593 8060647 9705677 35697151 56424529 67939739 249880057 300875987 475578173 1749160399 2106131909 3329047211 14742923363 103200463541