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11324023102112 = 257211372118863
BaseRepresentation
bin1010010011001001010001…
…0111111101101010100000
31111002120021122021201220012
42210302110113331222200
52441013044403231422
640030103455104052
72246063564125400
oct244622427755240
944076248251805
1011324023102112
113676544908406
12132a808512028
13641b0a27a386
142b212b008800
1514986cdbe4e2
hexa4c945fdaa0

11324023102112 has 144 divisors (see below), whose sum is σ = 26170120472832. Its totient is φ = 4808994785280.

The previous prime is 11324023102111. The next prime is 11324023102181. The reversal of 11324023102112 is 21120132042311.

It is not an unprimeable number, because it can be changed into a prime (11324023102111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277669393 + ... + 1277678255.

It is an arithmetic number, because the mean of its divisors is an integer number (181736947728).

Almost surely, 211324023102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324023102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085060236416).

11324023102112 is an abundant number, since it is smaller than the sum of its proper divisors (14846097370720).

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

11324023102112 is a wasteful number, since it uses less digits than its factorization.

11324023102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16211 (or 16196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 11324023102112 its reverse (21120132042311), we get a palindrome (32444155144423).

The spelling of 11324023102112 in words is "eleven trillion, three hundred twenty-four billion, twenty-three million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 113 196 224 226 392 452 784 791 904 1568 1582 1808 3164 3616 5537 6328 7211 8863 11074 12656 14422 17726 22148 25312 28844 35452 44296 50477 57688 62041 70904 88592 100954 115376 124082 141808 177184 201908 230752 248164 283616 353339 403816 434287 496328 706678 807632 814843 868574 992656 1001519 1413356 1615264 1629686 1737148 1985312 2003038 2826712 3259372 3474296 4006076 5653424 5703901 6518744 6948592 7010633 8012152 11306848 11407802 13037488 13897184 14021266 16024304 22815604 26074976 28042532 32048608 39927307 45631208 49074431 56085064 63911093 79854614 91262416 98148862 112170128 127822186 159709228 182524832 196297724 224340256 255644372 319418456 392595448 447377651 511288744 638836912 785190896 894755302 1022577488 1277673824 1570381792 1789510604 2045154976 3131643557 3579021208 6263287114 7158042416 7221953509 12526574228 14316084832 14443907018 25053148456 28887814036 50106296912 50553674563 57775628072 100212593824 101107349126 115551256144 202214698252 231102512288 353875721941 404429396504 707751443882 808858793008 1415502887764 1617717586016 2831005775528 5662011551056 11324023102112