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12313102221224 = 23723283308310957
BaseRepresentation
bin1011001100101101111000…
…0101010111111110101000
31121121010021021010221011022
42303023132011113332220
53103214213132034344
642104321105152012
72410410102665510
oct263133605277650
947533237127138
1012313102221224
113a17a59224902
12146a44102b608
136b4174b309cc
14307d58c98840
1516545a9c40ee
hexb32de157fa8

12313102221224 has 128 divisors (see below), whose sum is σ = 27641174538240. Its totient is φ = 5027680703232.

The previous prime is 12313102221187. The next prime is 12313102221269. The reversal of 12313102221224 is 42212220131321.

It is a super-2 number, since 2×123131022212242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313102221193 and 12313102221202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123760354 + ... + 1123771310.

It is an arithmetic number, because the mean of its divisors is an integer number (215946676080).

Almost surely, 212313102221224 is an apocalyptic number.

12313102221224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313102221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820587269120).

12313102221224 is an abundant number, since it is smaller than the sum of its proper divisors (15328072317016).

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

12313102221224 is a wasteful number, since it uses less digits than its factorization.

12313102221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14359 (or 14355 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12313102221224 its reverse (42212220131321), we get a palindrome (54525322352545).

The spelling of 12313102221224 in words is "twelve trillion, three hundred thirteen billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 283 322 566 644 1132 1288 1981 2264 3083 3962 6166 6509 7924 10957 12332 13018 15848 21581 21914 24664 26036 43162 43828 45563 52072 70909 76699 86324 87656 91126 141818 153398 172648 182252 252011 283636 306796 364504 496363 504022 567272 613592 872489 992726 1008044 1744978 1764077 1985452 2016088 3100831 3489956 3528154 3970904 6107423 6201662 6979912 7056308 12214846 12403324 14112616 20067247 21705817 24429692 24806648 33780431 40134494 43411634 48859384 67560862 71319113 80268988 86823268 135121724 140470729 142638226 160537976 173646536 236463017 270243448 280941458 285276452 472926034 499233791 561882916 570552904 776949913 945852068 998467582 1123765832 1553899826 1891704136 1996935164 3107799652 3993870328 5438649391 6215599304 9559861973 10877298782 19119723946 21754597564 38239447892 43509195128 66919033811 76478895784 133838067622 219876825379 267676135244 439753650758 535352270488 879507301516 1539137777653 1759014603032 3078275555306 6156551110612 12313102221224