Search a number
-
+
110001145553 = 13101229736473
BaseRepresentation
bin110011001110010010…
…1000100011011010001
3101111221011120011202222
41212130211010123101
53300240243124203
6122311150150425
710642634211155
oct1463445043321
9344834504688
10110001145553
1142718862852
121939b1b2415
13a4b080b450
145477401065
152cdc272038
hex199c9446d1

110001145553 has 16 divisors (see below), whose sum is σ = 119691035856. Its totient is φ = 100487654400.

The previous prime is 110001145543. The next prime is 110001145577. The reversal of 110001145553 is 355541100011.

It can be written as a sum of positive squares in 8 ways, for example, as 73753744 + 109927391809 = 8588^2 + 331553^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001145553 - 218 = 110000883409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001145543) 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, 2997725 + ... + 3034197.

It is an arithmetic number, because the mean of its divisors is an integer number (7480689741).

Almost surely, 2110001145553 is an apocalyptic number.

110001145553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110001145553 is a deficient number, since it is larger than the sum of its proper divisors (9689890303).

110001145553 is a wasteful number, since it uses less digits than its factorization.

110001145553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38884.

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 110001145553 its reverse (355541100011), we get a palindrome (465542245564).

The spelling of 110001145553 in words is "one hundred ten billion, one million, one hundred forty-five thousand, five hundred fifty-three".

Divisors: 1 13 101 1313 2297 29861 36473 231997 474149 3015961 3683773 47889049 83778481 1089120253 8461626581 110001145553