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110311132113 = 327133713926189
BaseRepresentation
bin110011010111100001…
…1100100101111010001
3101112201202212010101200
41212233003210233101
53301404122211423
6122402022221413
710653420103110
oct1465703445721
9345652763350
10110311132113
1142867838296
1219466b84869
13a52cac4950
1454a6653c77
152d095a4d43
hex19af0e4bd1

110311132113 has 96 divisors (see below), whose sum is σ = 202865644800. Its totient is φ = 56204057088.

The previous prime is 110311132111. The next prime is 110311132133. The reversal of 110311132113 is 311231113011.

110311132113 is a `hidden beast` number, since 110 + 311 + 132 + 113 = 666.

It is not a de Polignac number, because 110311132113 - 21 = 110311132111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110311132111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4199023 + ... + 4225211.

It is an arithmetic number, because the mean of its divisors is an integer number (2113183800).

Almost surely, 2110311132113 is an apocalyptic number.

110311132113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110311132113 is a deficient number, since it is larger than the sum of its proper divisors (92554512687).

110311132113 is a wasteful number, since it uses less digits than its factorization.

110311132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26391 (or 26388 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 110311132113 its reverse (311231113011), we get a palindrome (421542245124).

The spelling of 110311132113 in words is "one hundred ten billion, three hundred eleven million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 139 259 273 333 417 481 777 819 973 1251 1443 1807 2331 2919 3367 4329 5143 5421 8757 10101 12649 15429 16263 26189 30303 36001 37947 46287 66859 78567 108003 113841 183323 200577 235701 324009 340457 468013 549969 601731 968993 1021371 1404039 1649907 2383199 2906979 3064113 3640271 4212117 6782951 7149597 8720937 10920813 12596909 20348853 21448791 25481897 32762439 37790727 47323523 61046559 76445691 88178363 113372181 134690027 141970569 229337073 264535089 331264661 404070081 425911707 793605267 942830189 993793983 1212210243 1750970351 2828490567 2981381949 5252911053 8485471701 12256792457 15758733159 36770377371 110311132113