Search a number
-
+
105143350305 = 3579732093217
BaseRepresentation
bin110000111101100001…
…0000011010000100001
3101001101121202121110110
41201323002003100201
53210313144202210
6120145134521533
710411356505620
oct1417302032041
9331347677413
10105143350305
1140655753334
12184643662a9
139bb827c5a6
1451361996b7
152b05a5a420
hex187b083421

105143350305 has 64 divisors (see below), whose sum is σ = 194365140480. Its totient is φ = 47540404224.

The previous prime is 105143350283. The next prime is 105143350307. The reversal of 105143350305 is 503053341501.

It is not a de Polignac number, because 105143350305 - 27 = 105143350177 is a prime.

It is a super-2 number, since 2×1051433503052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105143350307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32682057 + ... + 32685273.

It is an arithmetic number, because the mean of its divisors is an integer number (3036955320).

Almost surely, 2105143350305 is an apocalyptic number.

105143350305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105143350305 is a deficient number, since it is larger than the sum of its proper divisors (89221790175).

105143350305 is a wasteful number, since it uses less digits than its factorization.

105143350305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538.

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 105143350305 its reverse (503053341501), we get a palindrome (608196691806).

The spelling of 105143350305 in words is "one hundred five billion, one hundred forty-three million, three hundred fifty thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 97 105 291 485 679 1455 2037 3209 3217 3395 9627 9651 10185 16045 16085 22463 22519 48135 48255 67389 67557 112315 112595 311273 312049 336945 337785 933819 936147 1556365 1560245 2178911 2184343 4669095 4680735 6536733 6553029 10323353 10894555 10921715 30970059 32683665 32765145 51616765 72263471 154850295 216790413 361317355 1001365241 1083952065 3004095723 5006826205 7009556687 15020478615 21028670061 35047783435 105143350305