Search a number
-
+
82241901093 = 3112435989303
BaseRepresentation
bin100110010010111111…
…1111101001000100101
321212021120122110010210
41030211333331020211
52321412411313333
6101440441210033
75641013424252
oct1144577751045
9255246573123
1082241901093
1131973455600
1213b32790919
1379a8747401
143da2802429
152215215a63
hex1325ffd225

82241901093 has 48 divisors (see below), whose sum is σ = 125425681920. Its totient is φ = 47858727840.

The previous prime is 82241901083. The next prime is 82241901121. The reversal of 82241901093 is 39010914228.

It is not a de Polignac number, because 82241901093 - 29 = 82241900581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82241901023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876280 + ... + 965582.

It is an arithmetic number, because the mean of its divisors is an integer number (2613035040).

Almost surely, 282241901093 is an apocalyptic number.

It is an amenable number.

82241901093 is a deficient number, since it is larger than the sum of its proper divisors (43183780827).

82241901093 is a wasteful number, since it uses less digits than its factorization.

82241901093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89430 (or 89419 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 82241901093 in words is "eighty-two billion, two hundred forty-one million, nine hundred one thousand, ninety-three".

Divisors: 1 3 11 33 43 59 121 129 177 363 473 649 1419 1947 2537 5203 7139 7611 15609 21417 27907 83721 89303 267909 306977 920931 982333 2946999 3840029 5268877 10805663 11520087 15806631 32416989 42240319 57957647 126720957 173872941 226561711 464643509 637534117 679685133 1393930527 1912602351 2492178821 7476536463 27413967031 82241901093