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130515022300 = 2252131941912611
BaseRepresentation
bin111100110001101001…
…1010011000111011100
3110110212211001002101211
41321203103103013130
54114243321203200
6135542513514204
712300166246045
oct1714323230734
9413784032354
10130515022300
1150395366aa3
1221365272964
13c3cc7b9460
146461a518cc
1535dd197aba
hex1e634d31dc

130515022300 has 144 divisors (see below), whose sum is σ = 321848150400. Its totient is φ = 45541267200.

The previous prime is 130515022291. The next prime is 130515022333. The reversal of 130515022300 is 3220515031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10342995 + ... + 10355605.

It is an arithmetic number, because the mean of its divisors is an integer number (2235056600).

Almost surely, 2130515022300 is an apocalyptic number.

130515022300 is a gapful number since it is divisible by the number (10) 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 130515022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160924075200).

130515022300 is an abundant number, since it is smaller than the sum of its proper divisors (191333128100).

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

130515022300 is a wasteful number, since it uses less digits than its factorization.

130515022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13076 (or 13069 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 130515022300 its reverse (3220515031), we get a palindrome (133735537331).

The spelling of 130515022300 in words is "one hundred thirty billion, five hundred fifteen million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 419 475 494 650 838 950 988 1235 1300 1676 1900 2095 2470 4190 4940 5447 6175 7961 8380 10475 10894 12350 12611 15922 20950 21788 24700 25222 27235 31844 39805 41900 50444 54470 63055 79610 103493 108940 126110 136175 159220 163943 199025 206986 239609 252220 272350 315275 327886 398050 413972 479218 517465 544700 630550 655772 796100 819715 958436 1034930 1198045 1261100 1639430 2069860 2396090 2587325 3114917 3278860 4098575 4792180 5174650 5284009 5990225 6229834 8197150 10349300 10568018 11980450 12459668 15574585 16394300 21136036 23960900 26420045 31149170 52840090 62298340 68692117 77872925 100396171 105680180 132100225 137384234 155745850 200792342 264200450 274768468 311491700 343460585 401584684 501980855 528400900 686921170 1003961710 1305150223 1373842340 1717302925 2007923420 2509904275 2610300446 3434605850 5019808550 5220600892 6525751115 6869211700 10039617100 13051502230 26103004460 32628755575 65257511150 130515022300