Search a number
-
+
1003113342 = 233711241249
BaseRepresentation
bin111011110010100…
…100101101111110
32120220112102211000
4323302210231332
54023244111332
6243312111130
733600215460
oct7362445576
92526472730
101003113342
1147525a9a0
1223bb354a6
1312ca8a2ba
149731c130
155d0e8b7c
hex3bca4b7e

1003113342 has 64 divisors (see below), whose sum is σ = 2779200000. Its totient is φ = 260547840.

The previous prime is 1003113311. The next prime is 1003113343. The reversal of 1003113342 is 2433113001.

1003113342 is a `hidden beast` number, since 10 + 0 + 311 + 3 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003113343) by changing a digit.

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, 116467 + ... + 124782.

It is an arithmetic number, because the mean of its divisors is an integer number (43425000).

Almost surely, 21003113342 is an apocalyptic number.

1003113342 is an abundant number, since it is smaller than the sum of its proper divisors (1776086658).

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

1003113342 is a wasteful number, since it uses less digits than its factorization.

1003113342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241278 (or 241272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1003113342 is about 31671.9646059413. The cubic root of 1003113342 is about 1001.0367055369.

Adding to 1003113342 its reverse (2433113001), we get a palindrome (3436226343).

The spelling of 1003113342 in words is "one billion, three million, one hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 241249 482498 723747 1447494 1688743 2171241 2653739 3377486 4342482 5066229 5307478 6513723 7961217 10132458 13027446 15198687 15922434 18576173 23883651 30397374 37152346 45596061 47767302 55728519 71650953 91192122 111457038 143301906 167185557 334371114 501556671 1003113342