Search a number
-
+
111441430401 = 3773352720611
BaseRepresentation
bin110011111001001101…
…1010100011110000001
3101122122112201020011020
41213302123110132001
53311213001233101
6123110120340053
711023423346310
oct1476233243601
9348575636136
10111441430401
1143297867104
1219721614629
13a6800232c2
1455727dc277
152d73923136
hex19f26d4781

111441430401 has 32 divisors (see below), whose sum is σ = 172198914048. Its totient is φ = 62787623040.

The previous prime is 111441430357. The next prime is 111441430411. The reversal of 111441430401 is 104034144111.

It is not a de Polignac number, because 111441430401 - 26 = 111441430337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111441430411) 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 31 ways as a sum of consecutive naturals, for example, 5396586 + ... + 5417196.

It is an arithmetic number, because the mean of its divisors is an integer number (5381216064).

Almost surely, 2111441430401 is an apocalyptic number.

It is an amenable number.

111441430401 is a deficient number, since it is larger than the sum of its proper divisors (60757483647).

111441430401 is a wasteful number, since it uses less digits than its factorization.

111441430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24221.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 111441430401 its reverse (104034144111), we get a palindrome (215475574512).

The spelling of 111441430401 in words is "one hundred eleven billion, four hundred forty-one million, four hundred thirty thousand, four hundred one".

Divisors: 1 3 7 21 73 219 511 1533 3527 10581 20611 24689 61833 74067 144277 257471 432831 772413 1504603 1802297 4513809 5406891 10532221 31596663 72694997 218084991 508864979 1526594937 5306734781 15920204343 37147143467 111441430401