Search a number
-
+
105502263230441 = 71119475328949677
BaseRepresentation
bin10111111111010000101000…
…111011000011111111101001
3111211112220210010022101110002
4113333100220323003333221
5102312022113341333231
61012215023131232345
731136200302003410
oct2777205073037751
9454486703271402
10105502263230441
1130686293178710
12b9bb0665a86b5
1346b3a891c7a8c
141c0a4a01d8477
15c2e5516810cb
hex5ff428ec3fe9

105502263230441 has 64 divisors (see below), whose sum is σ = 144072125521920. Its totient is φ = 74787434991360.

The previous prime is 105502263230423. The next prime is 105502263230443. The reversal of 105502263230441 is 144032362205501.

It is not a de Polignac number, because 105502263230441 - 246 = 35133519052777 is a prime.

It is a super-2 number, since 2×1055022632304412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105502263230395 and 105502263230404.

It is not an unprimeable number, because it can be changed into a prime (105502263230443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10830506 + ... + 18119171.

It is an arithmetic number, because the mean of its divisors is an integer number (2251126961280).

Almost surely, 2105502263230441 is an apocalyptic number.

105502263230441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105502263230441 is a deficient number, since it is larger than the sum of its proper divisors (38569862291479).

105502263230441 is a wasteful number, since it uses less digits than its factorization.

105502263230441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28949814.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 105502263230441 in words is "one hundred five trillion, five hundred two billion, two hundred sixty-three million, two hundred thirty thousand, four hundred forty-one".

Divisors: 1 7 11 19 47 53 77 133 209 329 371 517 583 893 1007 1463 2491 3619 4081 6251 7049 9823 11077 17437 27401 47329 68761 77539 191807 331303 520619 3644333 28949677 202647739 318446447 550043863 1360634819 1534332881 2229125129 3850307041 6050482493 9524443733 10740330167 14966983009 16877661691 25852061561 29152324739 42353377451 72113645407 104768881063 118143631837 180964430927 204066273173 284372677171 320675572129 504795517849 793250099477 1370159262733 1990608740197 2244729004903 5552750696339 9591114839131 15071751890063 105502263230441