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130031010330 = 235131911978861
BaseRepresentation
bin111100100011001110…
…0111100001000011010
3110102122002021201210120
41321012130330020122
54112300414312310
6135422503454110
712252201231324
oct1710634741032
9412562251716
10130031010330
115016712a701
122124b157336
13c353441640
14641765c614
1535b093bb70
hex1e4673c21a

130031010330 has 128 divisors (see below), whose sum is σ = 339592974336. Its totient is φ = 31674854400.

The previous prime is 130031010287. The next prime is 130031010331. The reversal of 130031010330 is 33010130031.

130031010330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (130031010331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14670100 + ... + 14678960.

It is an arithmetic number, because the mean of its divisors is an integer number (2653070112).

Almost surely, 2130031010330 is an apocalyptic number.

130031010330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130031010330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169796487168).

130031010330 is an abundant number, since it is smaller than the sum of its proper divisors (209561964006).

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

130031010330 is a wasteful number, since it uses less digits than its factorization.

130031010330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9272.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 130031010330 its reverse (33010130031), we get a palindrome (163041140361).

The spelling of 130031010330 in words is "one hundred thirty billion, thirty-one million, ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 191 195 197 382 390 394 573 591 955 985 1146 1182 1910 1970 2483 2561 2865 2955 4966 5122 5730 5910 7449 7683 8861 12415 12805 14898 15366 17722 24830 25610 26583 37245 37627 38415 44305 53166 74490 75254 76830 88610 112881 115193 132915 188135 225762 230386 265830 345579 376270 489151 564405 575965 691158 978302 1128810 1151930 1467453 1692451 1727895 1745617 2445755 2934906 3384902 3455790 3491234 4891510 5077353 5236851 7337265 8462255 8728085 10154706 10473702 14674530 16924510 17456170 22001863 22693021 25386765 26184255 44003726 45386042 50773530 52368510 66005589 68079063 110009315 113465105 132011178 136158126 220018630 226930210 330027945 333412847 340395315 660055890 666825694 680790630 1000238541 1667064235 2000477082 3334128470 4334367011 5001192705 8668734022 10002385410 13003101033 21671835055 26006202066 43343670110 65015505165 130031010330