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130124016 = 243311139197
BaseRepresentation
bin1111100000110…
…00100011110000
3100001211222121000
413300120203300
5231302432031
620525002000
73140015211
oct760304360
9301758530
10130124016
11674a7110
12376b3300
1320c60079
14133d3408
15b6553e6
hex7c188f0

130124016 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 38949120.

The previous prime is 130124011. The next prime is 130124017. The reversal of 130124016 is 610421031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 130124016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130124011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660430 + ... + 660626.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2130124016 is an apocalyptic number.

130124016 is a gapful number since it is divisible by the number (16) 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 130124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

130124016 is an abundant number, since it is smaller than the sum of its proper divisors (282349584).

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

130124016 is a wasteful number, since it uses less digits than its factorization.

130124016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130124016 is about 11407.1914159446. The cubic root of 130124016 is about 506.7407378627.

Adding to 130124016 its reverse (610421031), we get a palindrome (740545047).

The spelling of 130124016 in words is "one hundred thirty million, one hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 139 144 176 197 198 216 264 278 297 394 396 417 432 528 556 591 594 788 792 834 1112 1182 1188 1251 1529 1576 1584 1668 1773 2167 2224 2364 2376 2502 3058 3152 3336 3546 3753 4334 4587 4728 4752 5004 5319 6116 6501 6672 7092 7506 8668 9174 9456 10008 10638 12232 13002 13761 14184 15012 17336 18348 19503 20016 21276 24464 26004 27383 27522 28368 30024 34672 36696 39006 41283 42552 52008 54766 55044 58509 60048 73392 78012 82149 82566 85104 104016 109532 110088 117018 156024 164298 165132 219064 220176 234036 246447 301213 312048 328596 330264 438128 468072 492894 602426 657192 660528 739341 903639 936144 985788 1204852 1314384 1478682 1807278 1971576 2409704 2710917 2957364 3614556 3943152 4819408 5421834 5914728 7229112 8132751 10843668 11829456 14458224 16265502 21687336 32531004 43374672 65062008 130124016