Search a number
-
+
1821115098 = 2321128111031
BaseRepresentation
bin110110010001100…
…0000001011011010
311200220202020021100
41230203000023122
512212201140343
6500412452230
763062136315
oct15443001332
94626666240
101821115098
11854a76800
12429a7a076
132303a3bca
14133c1197c
15a9d299d3
hex6c8c02da

1821115098 has 72 divisors (see below), whose sum is σ = 4346623008. Its totient is φ = 550638000.

The previous prime is 1821115061. The next prime is 1821115129. The reversal of 1821115098 is 8905111281.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1765843 + ... + 1766873.

It is an arithmetic number, because the mean of its divisors is an integer number (60369764).

Almost surely, 21821115098 is an apocalyptic number.

1821115098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1821115098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173311504).

1821115098 is an abundant number, since it is smaller than the sum of its proper divisors (2525507910).

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

1821115098 is a wasteful number, since it uses less digits than its factorization.

1821115098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The square root of 1821115098 is about 42674.5251643179. The cubic root of 1821115098 is about 1221.1784496913.

The spelling of 1821115098 in words is "one billion, eight hundred twenty-one million, one hundred fifteen thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 811 1031 1089 1622 2062 2178 2433 3093 4866 6186 7299 8921 9279 11341 14598 17842 18558 22682 26763 34023 53526 68046 80289 98131 102069 124751 160578 196262 204138 249502 294393 374253 588786 748506 836141 883179 1122759 1672282 1766358 2245518 2508423 5016846 7525269 9197551 15050538 18395102 27592653 55185306 82777959 101173061 165555918 202346122 303519183 607038366 910557549 1821115098