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130200110368 = 25415312231531
BaseRepresentation
bin111100101000010001…
…0000000010100100000
3110110001212110220102221
41321100202000110200
54113122212012433
6135451344120424
712256323451336
oct1712042002440
9413055426387
10130200110368
1150243627aa9
1221297906114
13c37c49a133
146431cb9b56
1535c06e072d
hex1e50880520

130200110368 has 96 divisors (see below), whose sum is σ = 267931504512. Its totient is φ = 62222284800.

The previous prime is 130200110347. The next prime is 130200110387. The reversal of 130200110368 is 863011002031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85041763 + ... + 85043293.

It is an arithmetic number, because the mean of its divisors is an integer number (2790953172).

Almost surely, 2130200110368 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 130200110368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133965752256).

130200110368 is an abundant number, since it is smaller than the sum of its proper divisors (137731394144).

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

130200110368 is a wasteful number, since it uses less digits than its factorization.

130200110368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 130200110368 its reverse (863011002031), we get a palindrome (993211112399).

The spelling of 130200110368 in words is "one hundred thirty billion, two hundred million, one hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 53 82 106 164 212 328 424 656 848 1223 1312 1531 1696 2173 2446 3062 4346 4892 6124 8692 9784 12248 17384 19568 24496 34768 39136 48992 50143 62771 64819 69536 81143 100286 125542 129638 162286 200572 251084 259276 324572 401144 502168 518552 649144 802288 1004336 1037104 1298288 1604576 1872413 2008672 2074208 2596576 2657579 3326863 3744826 5315158 6653726 7489652 10630316 13307452 14979304 21260632 26614904 29958608 42521264 53229808 59917216 76768933 85042528 99237889 106459616 153537866 198475778 307075732 396951556 614151464 793903112 1228302928 1587806224 2456605856 3175612448 4068753449 8137506898 16275013796 32550027592 65100055184 130200110368