Search a number
-
+
11097200142 = 2327595472729
BaseRepresentation
bin10100101010111000…
…11101011000001110
31001122101100011202200
422111130131120032
5140211340401032
65033055302330
7541666434120
oct122534353016
931571304680
1011097200142
114785097796
12219851a9a6
13107b0ca922
14773b73210
1544e38e47c
hex29571d60e

11097200142 has 96 divisors (see below), whose sum is σ = 28005868800. Its totient is φ = 3110050944.

The previous prime is 11097200137. The next prime is 11097200159. The reversal of 11097200142 is 24100279011.

11097200142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4065034 + ... + 4067762.

It is an arithmetic number, because the mean of its divisors is an integer number (291727800).

Almost surely, 211097200142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11097200142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002934400).

11097200142 is an abundant number, since it is smaller than the sum of its proper divisors (16908668658).

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

11097200142 is a wasteful number, since it uses less digits than its factorization.

11097200142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11097200142 its reverse (24100279011), we get a palindrome (35197479153).

The spelling of 11097200142 in words is "eleven billion, ninety-seven million, two hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 547 826 1062 1094 1239 1641 2478 2729 3282 3717 3829 4923 5458 7434 7658 8187 9846 11487 16374 19103 22974 24561 32273 34461 38206 49122 57309 64546 68922 96819 114618 161011 171927 193638 225911 290457 322022 343854 451822 483033 580914 677733 966066 1127077 1355466 1449099 1492763 2033199 2254154 2898198 2985526 3381231 4066398 4478289 6762462 8956578 10143693 10449341 13434867 20287386 20898682 26869734 31348023 62696046 88073017 94044069 176146034 188088138 264219051 528438102 616511119 792657153 1233022238 1585314306 1849533357 3699066714 5548600071 11097200142