Search a number
-
+
103135314331 = 7537119320287
BaseRepresentation
bin110000000001101011…
…0000000000110011011
3100212012200021210221201
41200003112000012123
53142210120024311
6115214003415031
710310534464420
oct1400326000633
9325180253851
10103135314331
113a815218175
1217ba3984477
13995825061a
144dc560bd47
152a3960b9c1
hex180358019b

103135314331 has 32 divisors (see below), whose sum is σ = 122421362688. Its totient is φ = 85064878080.

The previous prime is 103135314329. The next prime is 103135314343. The reversal of 103135314331 is 133413531301.

It is not a de Polignac number, because 103135314331 - 21 = 103135314329 is a prime.

It is a super-2 number, since 2×1031353143312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103135314331.

It is not an unprimeable number, because it can be changed into a prime (103135314301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5073670 + ... + 5093956.

It is an arithmetic number, because the mean of its divisors is an integer number (3825667584).

Almost surely, 2103135314331 is an apocalyptic number.

103135314331 is a deficient number, since it is larger than the sum of its proper divisors (19286048357).

103135314331 is a wasteful number, since it uses less digits than its factorization.

103135314331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20611.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 103135314331 its reverse (133413531301), we get a palindrome (236548845632).

The spelling of 103135314331 in words is "one hundred three billion, one hundred thirty-five million, three hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 7 53 71 193 371 497 1351 3763 10229 13703 20287 26341 71603 95921 142009 726259 1075211 1440377 3915391 5083813 7526477 10082639 27407737 76339981 207515723 277992761 534379867 1452610061 1945949327 14733616333 103135314331