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130031244 = 2235729659
BaseRepresentation
bin1111100000000…
…01111010001100
3100001200021100000
413300001322030
5231241444434
620523004300
73136150560
oct760017214
9301607300
10130031244
1167443442
1237669690
1320c29a85
14133ab6a0
15b637b99
hex7c01e8c

130031244 has 144 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 35816256.

The previous prime is 130031243. The next prime is 130031263. The reversal of 130031244 is 442130031.

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

It is not an unprimeable number, because it can be changed into a prime (130031243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196987 + ... + 197645.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 2130031244 is an apocalyptic number.

130031244 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 130031244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

130031244 is an abundant number, since it is smaller than the sum of its proper divisors (273571956).

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

130031244 is a wasteful number, since it uses less digits than its factorization.

130031244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130031244 is about 11403.1243087147. The cubic root of 130031244 is about 506.6202821880.

Adding to 130031244 its reverse (442130031), we get a palindrome (572161275).

The spelling of 130031244 in words is "one hundred thirty million, thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 243 252 261 324 348 378 406 486 522 567 609 659 756 783 812 972 1044 1134 1218 1318 1566 1701 1827 1977 2268 2349 2436 2636 3132 3402 3654 3954 4613 4698 5481 5931 6804 7047 7308 7908 9226 9396 10962 11862 13839 14094 16443 17793 18452 19111 21924 23724 27678 28188 32886 35586 38222 41517 49329 53379 55356 57333 65772 71172 76444 83034 98658 106758 114666 124551 133777 160137 166068 171999 197316 213516 229332 249102 267554 320274 343998 373653 401331 498204 515997 535108 640548 687996 747306 802662 1031994 1120959 1203993 1494612 1547991 1605324 2063988 2241918 2407986 3095982 3611979 4483836 4643973 4815972 6191964 7223958 9287946 10835937 14447916 18575892 21671874 32507811 43343748 65015622 130031244