Search a number
-
+
110001353424 = 24337107578857
BaseRepresentation
bin110011001110010010…
…1110111001011010000
3101111221011221201220220
41212130211313023100
53300240321302144
6122311154433040
710642636035204
oct1463445671320
9344834851826
10110001353424
1142718994a46
121939b292780
13a4b0881c51
145477456b04
152cdc2b3919
hex199c9772d0

110001353424 has 80 divisors (see below), whose sum is σ = 294578520768. Its totient is φ = 35342631936.

The previous prime is 110001353417. The next prime is 110001353437. The reversal of 110001353424 is 424353100011.

It is a happy number.

It is a super-2 number, since 2×1100013534242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 110001353394 and 110001353403.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99397 + ... + 479460.

Almost surely, 2110001353424 is an apocalyptic number.

It is an amenable number.

110001353424 is an abundant number, since it is smaller than the sum of its proper divisors (184577167344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110001353424 is a wasteful number, since it uses less digits than its factorization.

110001353424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579012 (or 579006 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 110001353424 its reverse (424353100011), we get a palindrome (534354453435).

The spelling of 110001353424 in words is "one hundred ten billion, one million, three hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 107 111 148 214 222 296 321 428 444 592 642 856 888 1284 1712 1776 2568 3959 5136 7918 11877 15836 23754 31672 47508 63344 95016 190032 578857 1157714 1736571 2315428 3473142 4630856 6946284 9261712 13892568 21417709 27785136 42835418 61937699 64253127 85670836 123875398 128506254 171341672 185813097 247750796 257012508 342683344 371626194 495501592 514025016 743252388 991003184 1028050032 1486504776 2291694863 2973009552 4583389726 6875084589 9166779452 13750169178 18333558904 27500338356 36667117808 55000676712 110001353424