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13110431334 = 23711133758997
BaseRepresentation
bin11000011010111000…
…10100111001100110
31020211200120220202220
430031130110321212
5203322232300314
610004534013210
7642613553610
oct141534247146
936750526686
1013110431334
115618551120
12265a7a7206
13130c2284a0
148c52b3db0
1551aeb73a9
hex30d714e66

13110431334 has 128 divisors (see below), whose sum is σ = 36157750272. Its totient is φ = 3058352640.

The previous prime is 13110431317. The next prime is 13110431353. The reversal of 13110431334 is 43313401131.

13110431334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192724 + ... + 251720.

It is an arithmetic number, because the mean of its divisors is an integer number (282482424).

Almost surely, 213110431334 is an apocalyptic number.

13110431334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110431334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078875136).

13110431334 is an abundant number, since it is smaller than the sum of its proper divisors (23047318938).

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

13110431334 is a wasteful number, since it uses less digits than its factorization.

13110431334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59070.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13110431334 its reverse (43313401131), we get a palindrome (56423832465).

It can be divided in two parts, 13110 and 431334, that added together give a palindrome (444444).

The spelling of 13110431334 in words is "thirteen billion, one hundred ten million, four hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 58997 74074 111111 117994 176991 222222 353982 412979 648967 766961 825958 1238937 1297934 1533922 1946901 2182889 2300883 2477874 3893802 4365778 4542769 4601766 5368727 6548667 8436571 9085538 10737454 13097334 13628307 15280223 16106181 16873142 24011779 25309713 27256614 28377557 30560446 32212362 45840669 48023558 50619426 56755114 59055997 72035337 85132671 91681338 118111994 144070674 168082453 170265342 177167991 198642899 312153127 336164906 354335982 397285798 504247359 595928697 624306254 936459381 1008494718 1191857394 1872918762 2185071889 4370143778 6555215667 13110431334