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130310332020 = 2232511122353813
BaseRepresentation
bin111100101011100011…
…0011101111001110100
3110110100112212202010100
41321113012131321310
54113333421111040
6135510322354100
712262132355301
oct1712706357164
9413315782110
10130310332020
115029a870180
12213087bb930
13c39927c34b
1464427ac0a8
1535ca213b30
hex1e5719de74

130310332020 has 144 divisors (see below), whose sum is σ = 431569337472. Its totient is φ = 31563966720.

The previous prime is 130310331953. The next prime is 130310332039. The reversal of 130310332020 is 20233013031.

130310332020 is a `hidden beast` number, since 1 + 3 + 0 + 310 + 332 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130310331984 and 130310332002.

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, 2394634 + ... + 2448446.

It is an arithmetic number, because the mean of its divisors is an integer number (2997009288).

Almost surely, 2130310332020 is an apocalyptic number.

130310332020 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 130310332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215784668736).

130310332020 is an abundant number, since it is smaller than the sum of its proper divisors (301259005452).

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

130310332020 is a wasteful number, since it uses less digits than its factorization.

130310332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55062 (or 55057 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130310332020 its reverse (20233013031), we get a palindrome (150543345051).

The spelling of 130310332020 in words is "one hundred thirty billion, three hundred ten million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1223 1980 2446 3669 4892 6115 7338 11007 12230 13453 14676 18345 22014 24460 26906 36690 40359 44028 53812 53813 55035 67265 73380 80718 107626 110070 121077 134530 161436 161439 201795 215252 220140 242154 269060 269065 322878 403590 484308 484317 538130 591943 605385 645756 807180 807195 968634 1076260 1183886 1210770 1614390 1775829 1937268 2367772 2421540 2421585 2959715 3228780 3551658 4843170 5327487 5919430 7103316 8879145 9686340 10654974 11838860 17758290 21309948 26637435 35516580 53274870 65813299 106549740 131626598 197439897 263253196 329066495 394879794 592319691 658132990 723946289 789759588 987199485 1184639382 1316265980 1447892578 1974398970 2171838867 2369278764 2895785156 2961598455 3619731445 3948797940 4343677734 5923196910 6515516601 7239462890 8687355468 10859194335 11846393820 13031033202 14478925780 21718388670 26062066404 32577583005 43436777340 65155166010 130310332020