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20116226232312 = 23372910340086857
BaseRepresentation
bin1001001001011101011001…
…00001001100111111111000
32122020002111101121212002120
410210232230201030333320
510114041012403413222
6110441133341401240
74144230560502060
oct444565441147770
978202441555076
1020116226232312
116456275308691
12230a7ab569220
13b2bc4b6b9a72
144d78b83003a0
1524d4088a315c
hex124bac84cff8

20116226232312 has 128 divisors (see below), whose sum is σ = 60034078540800. Its totient is φ = 5495426915328.

The previous prime is 20116226232307. The next prime is 20116226232317. The reversal of 20116226232312 is 21323262261102.

It is an interprime number because it is at equal distance from previous prime (20116226232307) and next prime (20116226232317).

It is a super-3 number, since 3×201162262323123 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20116226232317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19541613 + ... + 20545244.

It is an arithmetic number, because the mean of its divisors is an integer number (469016238600).

Almost surely, 220116226232312 is an apocalyptic number.

It is an amenable number.

20116226232312 is an abundant number, since it is smaller than the sum of its proper divisors (39917852308488).

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

20116226232312 is a wasteful number, since it uses less digits than its factorization.

20116226232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40087005 (or 40087001 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 20116226232312 its reverse (21323262261102), we get a palindrome (41439488493414).

The spelling of 20116226232312 in words is "twenty trillion, one hundred sixteen billion, two hundred twenty-six million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 103 116 168 174 203 206 232 309 348 406 412 609 618 696 721 812 824 1218 1236 1442 1624 2163 2436 2472 2884 2987 4326 4872 5768 5974 8652 8961 11948 17304 17922 20909 23896 35844 41818 62727 71688 83636 125454 167272 250908 501816 40086857 80173714 120260571 160347428 240521142 280607999 320694856 481042284 561215998 841823997 962084568 1122431996 1162518853 1683647994 2244863992 2325037706 3367295988 3487556559 4128946271 4650075412 6734591976 6975113118 8137631971 8257892542 9300150824 12386838813 13950226236 16275263942 16515785084 24412895913 24773677626 27900452472 28902623897 32550527884 33031570168 48825791826 49547355252 57805247794 65101055768 86707871691 97651583652 99094710504 115610495588 119739441859 173415743382 195303167304 231220991176 239478883718 346831486764 359218325577 478957767436 693662973528 718436651154 838176093013 957915534872 1436873302308 1676352186026 2514528279039 2873746604616 3352704372052 5029056558078 6705408744104 10058113116156 20116226232312