Search a number
-
+
10030335354 = 23313139102793
BaseRepresentation
bin10010101011101101…
…01100010101111010
3221220000211211102000
421111312230111322
5131020231212404
64335144521430
7503363305134
oct112566542572
927800754360
1010030335354
114287954456
121b3b180276
13c3b07bca0
146b21bc054
153da8a1339
hex255dac57a

10030335354 has 64 divisors (see below), whose sum is σ = 24177148800. Its totient is φ = 3064023936.

The previous prime is 10030335349. The next prime is 10030335361. The reversal of 10030335354 is 45353303001.

It is a happy number.

10030335354 is a `hidden beast` number, since 1 + 0 + 0 + 303 + 3 + 5 + 354 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 46182 + ... + 148974.

It is an arithmetic number, because the mean of its divisors is an integer number (377767950).

Almost surely, 210030335354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030335354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088574400).

10030335354 is an abundant number, since it is smaller than the sum of its proper divisors (14146813446).

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

10030335354 is a wasteful number, since it uses less digits than its factorization.

10030335354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102956 (or 102950 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 10030335354 its reverse (45353303001), we get a palindrome (55383638355).

The spelling of 10030335354 in words is "ten billion, thirty million, three hundred thirty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 139 234 278 351 417 702 834 1251 1807 2502 3614 3753 5421 7506 10842 16263 32526 48789 97578 102793 205586 308379 616758 925137 1336309 1850274 2672618 2775411 4008927 5550822 8017854 12026781 14288227 24053562 28576454 36080343 42864681 72160686 85729362 128594043 185746951 257188086 371493902 385782129 557240853 771564258 1114481706 1671722559 3343445118 5015167677 10030335354