Search a number
-
+
13111403030310 = 23513653440911677
BaseRepresentation
bin1011111011001011110010…
…0001010010011100100110
31201102102211012221211102010
42332302330201102130212
53204304123133432220
643515143450055050
72522160534625254
oct276627441223446
951372735854363
1013111403030310
1141a5573219292
1215790b241a486
13741527a55170
143348496a95d4
1517b0cea221e0
hexbecbc852726

13111403030310 has 128 divisors (see below), whose sum is σ = 33950434815360. Its totient is φ = 3221473038336.

The previous prime is 13111403030303. The next prime is 13111403030321. The reversal of 13111403030310 is 1303030411131.

It is a super-2 number, since 2×131114030303102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122834192 + ... + 1122845868.

It is an arithmetic number, because the mean of its divisors is an integer number (265237771995).

Almost surely, 213111403030310 is an apocalyptic number.

13111403030310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111403030310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16975217407680).

13111403030310 is an abundant number, since it is smaller than the sum of its proper divisors (20839031785050).

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

13111403030310 is a wasteful number, since it uses less digits than its factorization.

13111403030310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13111403030310 its reverse (1303030411131), we get a palindrome (14414433441441).

The spelling of 13111403030310 in words is "thirteen trillion, one hundred eleven billion, four hundred three million, thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 653 1306 1959 3265 3918 4409 6530 8489 8818 9795 11677 13227 16978 19590 22045 23354 25467 26454 35031 42445 44090 50934 57317 58385 66135 70062 84890 114634 116770 127335 132270 151801 171951 175155 254670 286585 303602 343902 350310 455403 573170 759005 859755 910806 1518010 1719510 2277015 2879077 4554030 5758154 7625081 8637231 14395385 15250162 17274462 22875243 28790770 37428001 38125405 43186155 45750486 51483893 74856002 76250810 86372310 99126053 102967786 112284003 114376215 154451679 187140005 198252106 224568006 228752430 257419465 297378159 308903358 374280010 495630265 514838930 561420015 594756318 669290609 772258395 991260530 1122840030 1338581218 1486890795 1544516790 2007871827 2973781590 3346453045 4015743654 6692906090 10039359135 20078718270 33618982129 67237964258 100856946387 168094910645 201713892774 336189821290 437046767677 504284731935 874093535354 1008569463870 1311140303031 2185233838385 2622280606062 4370467676770 6555701515155 13111403030310