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130442203224 = 23333716679791
BaseRepresentation
bin111100101111011110…
…1100001000001011000
3110110200202000111102000
41321132331201001120
54114121201000344
6135531353041000
712265323301404
oct1713675410130
9413622014360
10130442203224
115035824aa43
12213449b6160
13c3ba6a1748
1464560d8104
1535d6ab1a69
hex1e5ef61058

130442203224 has 128 divisors (see below), whose sum is σ = 372393676800. Its totient is φ = 42275882880.

The previous prime is 130442203201. The next prime is 130442203267. The reversal of 130442203224 is 422302244031.

130442203224 is a `hidden beast` number, since 13 + 0 + 4 + 422 + 0 + 3 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 13317769 + ... + 13327559.

It is an arithmetic number, because the mean of its divisors is an integer number (2909325600).

Almost surely, 2130442203224 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 130442203224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186196838400).

130442203224 is an abundant number, since it is smaller than the sum of its proper divisors (241951473576).

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

130442203224 is a wasteful number, since it uses less digits than its factorization.

130442203224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 130442203224 its reverse (422302244031), we get a palindrome (552744447255).

The spelling of 130442203224 in words is "one hundred thirty billion, four hundred forty-two million, two hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1667 1998 2664 3334 3996 5001 6668 7992 9791 10002 13336 15003 19582 20004 29373 30006 39164 40008 45009 58746 60012 61679 78328 88119 90018 117492 120024 123358 176238 180036 185037 234984 246716 264357 352476 360072 362267 370074 493432 528714 555111 704952 724534 740148 1057428 1086801 1110222 1449068 1480296 1665333 2114856 2173602 2220444 2898136 3260403 3330666 4347204 4440888 6520806 6661332 8694408 9781209 13041612 13322664 16321597 19562418 26083224 32643194 39124836 48964791 65286388 78249672 97929582 130572776 146894373 195859164 293788746 391718328 440683119 587577492 603899089 881366238 1175154984 1207798178 1762732476 1811697267 2415596356 3525464952 3623394534 4831192712 5435091801 7246789068 10870183602 14493578136 16305275403 21740367204 32610550806 43480734408 65221101612 130442203224