Search a number
-
+
110105320010 = 25717412778147
BaseRepresentation
bin110011010001011001…
…0011101101001001010
3101112012102120210021012
41212202302131221022
53300443430220020
6122325351043522
710645340530610
oct1464262355112
9345172523235
10110105320010
1142771645644
121940a0705a2
13a4c928403a
14548719b6b0
152ce649d7c5
hex19a2c9da4a

110105320010 has 128 divisors (see below), whose sum is σ = 246592636416. Its totient is φ = 34533826560.

The previous prime is 110105320009. The next prime is 110105320037. The reversal of 110105320010 is 10023501011.

It is a super-3 number, since 3×1101053200103 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13510757 + ... + 13518903.

It is an arithmetic number, because the mean of its divisors is an integer number (1926504972).

Almost surely, 2110105320010 is an apocalyptic number.

110105320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110105320010 is an abundant number, since it is smaller than the sum of its proper divisors (136487316406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110105320010 is a wasteful number, since it uses less digits than its factorization.

110105320010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8496.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 110105320010 its reverse (10023501011), we get a palindrome (120128821021).

The spelling of 110105320010 in words is "one hundred ten billion, one hundred five million, three hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 41 70 82 85 119 170 205 238 277 287 410 554 574 595 697 1190 1385 1394 1435 1939 2770 2870 3485 3878 4709 4879 6970 8147 9418 9695 9758 11357 16294 19390 22714 23545 24395 32963 40735 47090 48790 56785 57029 65926 79499 81470 113570 114058 138499 158998 164815 193069 276998 285145 329630 334027 386138 397495 570290 668054 692495 794990 965345 969493 1351483 1384990 1670135 1930690 1938986 2256719 2338189 2702966 3340270 4513438 4676378 4847465 5678459 6757415 9694930 11283595 11356918 11690945 13514830 15797033 22567190 23381890 28392295 31594066 38364223 39749213 56784590 76728446 78985165 79498426 92525479 157970330 185050958 191821115 198746065 268549561 383642230 397492130 462627395 537099122 647678353 925254790 1295356706 1342747805 1572933143 2685495610 3145866286 3238391765 6476783530 7864665715 11010532001 15729331430 22021064002 55052660005 110105320010