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4131242300130 = 23511193739176221
BaseRepresentation
bin111100000111100001001…
…110101101001011100010
3112121221110101020022221220
4330013201032231023202
51020141241012101010
612441511055555510
7604321015103541
oct74074116551342
915557411208856
104131242300130
111353060639220
125687b482bb96
1323c7611851aa
14103d4b7ca158
15726e2e12970
hex3c1e13ad2e2

4131242300130 has 128 divisors (see below), whose sum is σ = 11388734438400. Its totient is φ = 948542918400.

The previous prime is 4131242300113. The next prime is 4131242300203. The reversal of 4131242300130 is 310032421314.

It is a happy number.

4131242300130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4131242300130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23355420 + ... + 23531640.

It is an arithmetic number, because the mean of its divisors is an integer number (88974487800).

Almost surely, 24131242300130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131242300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694367219200).

4131242300130 is an abundant number, since it is smaller than the sum of its proper divisors (7257492138270).

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

4131242300130 is a wasteful number, since it uses less digits than its factorization.

4131242300130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180000.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4131242300130 its reverse (310032421314), we get a palindrome (4441274721444).

The spelling of 4131242300130 in words is "four trillion, one hundred thirty-one billion, two hundred forty-two million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 3739 6270 7478 11217 18695 22434 37390 41129 56085 71041 82258 112170 123387 142082 176221 205645 213123 246774 352442 355205 411290 426246 528663 616935 710410 781451 881105 1057326 1065615 1233870 1562902 1762210 1938431 2131230 2344353 2643315 3348199 3876862 3907255 4688706 5286630 5815293 6696398 7814510 9692155 10044597 11630586 11721765 16740995 19384310 20089194 23443530 29076465 33481990 36830189 50222985 58152930 73660378 100445970 110490567 184150945 220981134 368301890 552452835 658890319 1104905670 1317780638 1976670957 3294451595 3953341914 6588903190 7247793509 9883354785 12518916061 14495587018 19766709570 21743380527 25037832122 36238967545 37556748183 43486761054 62594580305 72477935090 75113496366 108716902635 125189160610 137708076671 187783740915 217433805270 275416153342 375567481830 413124230013 688540383355 826248460026 1377080766710 2065621150065 4131242300130