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130014324 = 223211397827
BaseRepresentation
bin1111011111111…
…01110001110100
3100001122102010100
413233331301310
5231240424244
620522354100
73136050336
oct757756164
9301572110
10130014324
1167431760
123765b930
1320c2216b
14133a5456
15b632b69
hex7bfdc74

130014324 has 72 divisors (see below), whose sum is σ = 359862048. Its totient is φ = 39251520.

The previous prime is 130014301. The next prime is 130014349. The reversal of 130014324 is 423410031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130014297 and 130014306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156799 + ... + 157625.

It is an arithmetic number, because the mean of its divisors is an integer number (4998084).

Almost surely, 2130014324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130014324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179931024).

130014324 is an abundant number, since it is smaller than the sum of its proper divisors (229847724).

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

130014324 is a wasteful number, since it uses less digits than its factorization.

130014324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1240 counting only the distinct ones).

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

The square root of 130014324 is about 11402.3823826427. The cubic root of 130014324 is about 506.5983069900.

Adding to 130014324 its reverse (423410031), we get a palindrome (553424355).

The spelling of 130014324 in words is "one hundred thirty million, fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 397 794 827 1191 1588 1654 2382 2481 3308 3573 4367 4764 4962 7146 7443 8734 9097 9924 13101 14292 14886 17468 18194 26202 27291 29772 36388 39303 52404 54582 78606 81873 109164 157212 163746 327492 328319 656638 984957 1313276 1969914 2954871 3611509 3939828 5909742 7223018 10834527 11819484 14446036 21669054 32503581 43338108 65007162 130014324