Search a number
-
+
105030312310 = 257112103120391
BaseRepresentation
bin110000111010001001…
…0110110000101110110
3101001002202001200111001
41201310102312011312
53210100224443220
6120130020033514
710405514632030
oct1416422660566
9331082050431
10105030312310
11405a7967200
121843253289a
139b9aa224c1
145125172c50
152aeab7c80a
hex18744b6176

105030312310 has 96 divisors (see below), whose sum is σ = 239797748736. Its totient is φ = 32418619200.

The previous prime is 105030312301. The next prime is 105030312347. The reversal of 105030312310 is 13213030501.

It is a super-2 number, since 2×1050303123102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812215 + ... + 932605.

It is an arithmetic number, because the mean of its divisors is an integer number (2497893216).

Almost surely, 2105030312310 is an apocalyptic number.

105030312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105030312310 is an abundant number, since it is smaller than the sum of its proper divisors (134767436426).

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

105030312310 is a wasteful number, since it uses less digits than its factorization.

105030312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120530 (or 120519 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 105030312310 its reverse (13213030501), we get a palindrome (118243342811).

The spelling of 105030312310 in words is "one hundred five billion, thirty million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 103 110 121 154 206 242 385 515 605 721 770 847 1030 1133 1210 1442 1694 2266 3605 4235 5665 7210 7931 8470 11330 12463 15862 24926 39655 62315 79310 87241 120391 124630 174482 240782 436205 601955 842737 872410 1203910 1324301 1685474 2648602 4213685 6621505 8427370 9270107 12400273 13243010 14567311 18540214 24800546 29134622 46350535 62001365 72836555 86801911 92701070 101971177 124002730 136403003 145673110 173603822 203942354 272806006 434009555 509855885 682015015 868019110 954821021 1019711770 1364030030 1500433033 1909642042 3000866066 4774105105 7502165165 9548210210 10503031231 15004330330 21006062462 52515156155 105030312310