Search a number
-
+
103310211312321 = 31323389296074637
BaseRepresentation
bin10111011111010111001000…
…011100100110101011000001
3111112210100201020220020121120
4113133113020130212223001
5102020113303043443241
61003420020023142453
730521626226064606
oct2737271034465301
9445710636806546
10103310211312321
112aa10683aa3242
12b7062648a4a29
13458515a1aa190
141b723530986ad
15be2507dc1666
hex5df5c8726ac1

103310211312321 has 32 divisors (see below), whose sum is σ = 155190482254080. Its totient is φ = 60655034229504.

The previous prime is 103310211312299. The next prime is 103310211312323. The reversal of 103310211312321 is 123213112013301.

It is not a de Polignac number, because 103310211312321 - 213 = 103310211304129 is a prime.

It is a super-2 number, since 2×1033102113123212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103310211312291 and 103310211312300.

It is not an unprimeable number, because it can be changed into a prime (103310211312323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147688386 + ... + 148386251.

It is an arithmetic number, because the mean of its divisors is an integer number (4849702570440).

Almost surely, 2103310211312321 is an apocalyptic number.

It is an amenable number.

103310211312321 is a deficient number, since it is larger than the sum of its proper divisors (51880270941759).

103310211312321 is a wasteful number, since it uses less digits than its factorization.

103310211312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296075065.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103310211312321 its reverse (123213112013301), we get a palindrome (226523323325622).

The spelling of 103310211312321 in words is "one hundred three trillion, three hundred ten billion, two hundred eleven million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 13 23 39 69 299 389 897 1167 5057 8947 15171 26841 116311 348933 296074637 888223911 3848970281 6809716651 11546910843 20429149953 88526316463 115173033793 265578949389 345519101379 1497249439309 2648979777239 4491748317927 7946939331717 34436737104107 103310211312321