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130310210010 = 235731031075399
BaseRepresentation
bin111100101011100011…
…0000000000111011010
3110110100112122112202110
41321113012000013122
54113333403210020
6135510320013150
712262131336501
oct1712706000732
9413315575673
10130310210010
115029a797542
12213087611b6
13c399238956
146442779838
1535ca1dc8e0
hex1e571801da

130310210010 has 128 divisors (see below), whose sum is σ = 323158118400. Its totient is φ = 33617189376.

The previous prime is 130310210003. The next prime is 130310210021. The reversal of 130310210010 is 10012013031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24133291 + ... + 24138689.

It is an arithmetic number, because the mean of its divisors is an integer number (2524672800).

Almost surely, 2130310210010 is an apocalyptic number.

130310210010 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 130310210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161579059200).

130310210010 is an abundant number, since it is smaller than the sum of its proper divisors (192847908390).

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

130310210010 is a wasteful number, since it uses less digits than its factorization.

130310210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 130310210010 its reverse (10012013031), we get a palindrome (140322223041).

The spelling of 130310210010 in words is "one hundred thirty billion, three hundred ten million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 103 107 146 206 214 219 309 321 365 438 515 535 618 642 730 1030 1070 1095 1545 1605 2190 3090 3210 5399 7519 7811 10798 11021 15038 15622 16197 22042 22557 23433 26995 32394 33063 37595 39055 45114 46866 53990 55105 66126 75190 78110 80985 110210 112785 117165 161970 165315 225570 234330 330630 394127 556097 577693 788254 804533 1112194 1155386 1182381 1609066 1668291 1733079 1970635 2364762 2413599 2780485 2888465 3336582 3466158 3941270 4022665 4827198 5560970 5776930 5911905 8045330 8341455 8665395 11823810 12067995 16682910 17330790 24135990 40595081 42171589 59502379 81190162 84343178 119004758 121785243 126514767 178507137 202975405 210857945 243570486 253029534 297511895 357014274 405950810 421715890 595023790 608926215 632573835 892535685 1217852430 1265147670 1785071370 4343673667 8687347334 13031021001 21718368335 26062042002 43436736670 65155105005 130310210010