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130041421000 = 2353374637591
BaseRepresentation
bin111100100011100010…
…0101001110011001000
3110102122210212122112221
41321013010221303020
54112311100433000
6135423514543424
712252355561201
oct1710704516310
9412583778487
10130041421000
1150171aa0367
1221252737b74
13c3556480ba
146418bac5a8
1535b17e661a
hex1e47129cc8

130041421000 has 128 divisors (see below), whose sum is σ = 313237416960. Its totient is φ = 50494752000.

The previous prime is 130041420997. The next prime is 130041421007. The reversal of 130041421000 is 124140031.

It is not an unprimeable number, because it can be changed into a prime (130041421007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17127205 + ... + 17134795.

It is an arithmetic number, because the mean of its divisors is an integer number (2447167320).

Almost surely, 2130041421000 is an apocalyptic number.

130041421000 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 130041421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156618708480).

130041421000 is an abundant number, since it is smaller than the sum of its proper divisors (183195995960).

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

130041421000 is a wasteful number, since it uses less digits than its factorization.

130041421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 130041421000 its reverse (124140031), we get a palindrome (130165561031).

The spelling of 130041421000 in words is "one hundred thirty billion, forty-one million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 463 500 740 925 926 1000 1480 1850 1852 2315 3700 3704 4625 4630 7400 7591 9250 9260 11575 15182 17131 18500 18520 23150 30364 34262 37000 37955 46300 57875 60728 68524 75910 85655 92600 115750 137048 151820 171310 189775 231500 280867 303640 342620 379550 428275 463000 561734 685240 759100 856550 948875 1123468 1404335 1518200 1713100 1897750 2141375 2246936 2808670 3426200 3514633 3795500 4282750 5617340 7021675 7029266 7591000 8565500 11234680 14043350 14058532 17131000 17573165 28086700 28117064 35108375 35146330 56173400 70216750 70292660 87865825 130041421 140433500 140585320 175731650 260082842 280867000 351463300 439329125 520165684 650207105 702926600 878658250 1040331368 1300414210 1757316500 2600828420 3251035525 3514633000 5201656840 6502071050 13004142100 16255177625 26008284200 32510355250 65020710500 130041421000