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130130033020 = 225135948717419
BaseRepresentation
bin111100100110001011…
…0101011100101111100
3110102212222121121101121
41321030112223211330
54113001242024040
6135440402120324
712254513013241
oct1711426534574
9412788547347
10130130033020
1150208013939
12212783500a4
13c36ab02350
1464268775c8
1535b949bc4a
hex1e4c5ab97c

130130033020 has 96 divisors (see below), whose sum is σ = 299913868800. Its totient is φ = 47133944064.

The previous prime is 130130032999. The next prime is 130130033023. The reversal of 130130033020 is 20330031031.

It is a junction number, because it is equal to n+sod(n) for n = 130130032985 and 130130033003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130033023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7461871 + ... + 7479289.

It is an arithmetic number, because the mean of its divisors is an integer number (3124102800).

Almost surely, 2130130033020 is an apocalyptic number.

130130033020 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 130130033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149956934400).

130130033020 is an abundant number, since it is smaller than the sum of its proper divisors (169783835780).

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

130130033020 is a wasteful number, since it uses less digits than its factorization.

130130033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17987 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 130130033020 its reverse (20330031031), we get a palindrome (150460064051).

The spelling of 130130033020 in words is "one hundred thirty billion, one hundred thirty million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 487 590 767 974 1180 1534 1948 2435 3068 3835 4870 6331 7670 9740 12662 15340 17419 25324 28733 31655 34838 57466 63310 69676 87095 114932 126620 143665 174190 226447 287330 348380 373529 452894 574660 747058 905788 1027721 1132235 1494116 1867645 2055442 2264470 3735290 4110884 4528940 5138605 7470580 8483053 10277210 13360373 16966106 20554420 26720746 33932212 42415265 53441492 66801865 84830530 110279689 133603730 169661060 220559378 267207460 441118756 500500127 551398445 1001000254 1102796890 2002000508 2205593780 2502500635 5005001270 6506501651 10010002540 13013003302 26026006604 32532508255 65065016510 130130033020