Search a number
-
+
103200142144404 = 223277306710122913
BaseRepresentation
bin10111011101110000100111…
…110100000011001110010100
3111112101211121100100011200210
4113131300213310003032110
5102011312342342110104
61003253254003005420
730510651504434454
oct2735604764031624
9445354540304623
10103200142144404
112a978a30900268
12b6a8a66969870
134577968573416
141b6acb0a2bd64
15bde714bb4989
hex5ddc27d03394

103200142144404 has 48 divisors (see below), whose sum is σ = 241748467583168. Its totient is φ = 34264680403968.

The previous prime is 103200142144403. The next prime is 103200142144417. The reversal of 103200142144404 is 404441241002301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200142144403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5133252 + ... + 15256164.

Almost surely, 2103200142144404 is an apocalyptic number.

It is an amenable number.

103200142144404 is an abundant number, since it is smaller than the sum of its proper divisors (138548325438764).

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

103200142144404 is a wasteful number, since it uses less digits than its factorization.

103200142144404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126264 (or 10126262 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 103200142144404 its reverse (404441241002301), we get a palindrome (507641383146705).

The spelling of 103200142144404 in words is "one hundred three trillion, two hundred billion, one hundred forty-two million, one hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 277 554 831 1108 1662 3067 3324 6134 9201 12268 18402 36804 849559 1699118 2548677 3398236 5097354 10122913 10194708 20245826 30368739 40491652 60737478 121474956 2804046901 5608093802 8412140703 11216187604 16824281406 31046974171 33648562812 62093948342 93140922513 124187896684 186281845026 372563690052 8600011845367 17200023690734 25800035536101 34400047381468 51600071072202 103200142144404