Search a number
-
+
103310001012231 = 32135961245343557
BaseRepresentation
bin10111011111010110111011…
…111010010111111000000111
3111112210100011121011220010100
4113133112323322113320013
5102020112340224342411
61003415543111455143
730521621063421036
oct2737267372277007
9445710147156110
10103310001012231
112aa10586315712
12b7062063874b3
134585125757860
141b7233319471d
15be24e46d0456
hex5df5bbe97e07

103310001012231 has 48 divisors (see below), whose sum is σ = 166107402508320. Its totient is φ = 61473281391360.

The previous prime is 103310001012217. The next prime is 103310001012233. The reversal of 103310001012231 is 132210100013301.

103310001012231 is a `hidden beast` number, since 1 + 0 + 331 + 0 + 0 + 0 + 101 + 2 + 231 = 666.

It is not a de Polignac number, because 103310001012231 - 27 = 103310001012103 is a prime.

It is a super-2 number, since 2×1033100010122312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103310001012233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122250696 + ... + 123092861.

It is an arithmetic number, because the mean of its divisors is an integer number (3460570885590).

Almost surely, 2103310001012231 is an apocalyptic number.

103310001012231 is a deficient number, since it is larger than the sum of its proper divisors (62797401496089).

103310001012231 is a wasteful number, since it uses less digits than its factorization.

103310001012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245343696 (or 245343693 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103310001012231 its reverse (132210100013301), we get a palindrome (235520101025532).

The spelling of 103310001012231 in words is "one hundred three trillion, three hundred ten billion, one million, twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 59 61 117 177 183 531 549 767 793 2301 2379 3599 6903 7137 10797 32391 46787 140361 421083 245343557 736030671 2208092013 3189466241 9568398723 14475269863 14965956977 28705196169 43425809589 44897870931 130277428767 134693612793 188178508219 194557440701 564535524657 583672322103 882991461643 1693606573971 1751016966309 2648974384929 7946923154787 11478889001359 34436667004077 103310001012231