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115022416124 = 227111932238677
BaseRepresentation
bin110101100011111011…
…1101100100011111100
3101222220002222011002002
41223013313230203330
53341031214303444
6124501321321432
711211235256030
oct1530767544374
9358802864062
10115022416124
1144865178740
121a360936278
13ab00ba6875
1457d223c1c0
152ed2ecad4e
hex1ac7dec8fc

115022416124 has 96 divisors (see below), whose sum is σ = 253418704896. Its totient is φ = 44376698880.

The previous prime is 115022416111. The next prime is 115022416127. The reversal of 115022416124 is 421614220511.

It is a happy number.

It is a super-2 number, since 2×1150224161242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115022416127) 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, 13251674 + ... + 13260350.

It is an arithmetic number, because the mean of its divisors is an integer number (2639778176).

Almost surely, 2115022416124 is an apocalyptic number.

115022416124 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 115022416124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126709352448).

115022416124 is an abundant number, since it is smaller than the sum of its proper divisors (138396288772).

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

115022416124 is a wasteful number, since it uses less digits than its factorization.

115022416124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 115022416124 its reverse (421614220511), we get a palindrome (536636636635).

The spelling of 115022416124 in words is "one hundred fifteen billion, twenty-two million, four hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 193 223 308 386 446 772 892 1351 1561 2123 2453 2702 3122 4246 4906 5404 6244 8492 8677 9812 14861 17171 17354 29722 34342 34708 43039 59444 60739 68684 86078 95447 121478 172156 190894 242956 301273 381788 473429 602546 668129 946858 1205092 1336258 1674661 1893716 1934971 2672516 3314003 3349322 3869942 6628006 6698644 7739884 11722627 13256012 13544797 18421271 21284681 23445254 27089594 36842542 42569362 46890508 54179188 73685084 85138724 128948897 148992767 257897794 297985534 373449403 515795588 595971068 746898806 1493797612 2614145821 4107943433 5228291642 8215886866 10456583284 16431773732 28755604031 57511208062 115022416124