Search a number
-
+
10105243005 = 35112131922541
BaseRepresentation
bin10010110100101000…
…11100010101111101
3222002020210112101110
421122110130111331
5131143420234010
64350422232233
7505263101604
oct113224342575
928066715343
1010105243005
114316167700
121b60285679
13c50748540
146bc11aa3b
153e224b120
hex25a51c57d

10105243005 has 96 divisors (see below), whose sum is σ = 20147137920. Its totient is φ = 4284403200.

The previous prime is 10105242997. The next prime is 10105243009. The reversal of 10105243005 is 50034250101.

10105243005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105243005 - 23 = 10105242997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105243009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437035 + ... + 459575.

It is an arithmetic number, because the mean of its divisors is an integer number (209866020).

Almost surely, 210105243005 is an apocalyptic number.

10105243005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105243005 is a deficient number, since it is larger than the sum of its proper divisors (10041894915).

10105243005 is a wasteful number, since it uses less digits than its factorization.

10105243005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22603 (or 22592 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 10105243005 its reverse (50034250101), we get a palindrome (60139493106).

The spelling of 10105243005 in words is "ten billion, one hundred five million, two hundred forty-three thousand, five".

Divisors: 1 3 5 11 13 15 19 33 39 55 57 65 95 121 143 165 195 209 247 285 363 429 605 627 715 741 1045 1235 1573 1815 2145 2299 2717 3135 3705 4719 6897 7865 8151 11495 13585 22541 23595 29887 34485 40755 67623 89661 112705 149435 247951 293033 338115 428279 448305 743853 879099 1239755 1284837 1465165 2141395 2727461 3223363 3719265 4395495 4711069 5567627 6424185 8182383 9670089 13637305 14133207 16116815 16702881 23555345 27838135 35456993 40911915 48350445 51821759 61243897 70666035 83514405 106370979 155465277 177284965 183731691 259108795 306219485 531854895 673682867 777326385 918658455 2021048601 3368414335 10105243005