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130011030000 = 2432541444567
BaseRepresentation
bin111100100010101000…
…0101110000111110000
3110102120200200121221100
41321011100232013300
54112230310430000
6135420511324400
712251536343535
oct1710520560760
9412520617840
10130011030000
1150156923135
1221244520700
13c34c267167
146414b3ad8c
1535adce1a00
hex1e4542e1f0

130011030000 has 150 divisors (see below), whose sum is σ = 454667666024. Its totient is φ = 34669584000.

The previous prime is 130011029959. The next prime is 130011030001. The reversal of 130011030000 is 30110031.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130011030001) 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 29 ways as a sum of consecutive naturals, for example, 632284 + ... + 812283.

Almost surely, 2130011030000 is an apocalyptic number.

130011030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130011030000 is an abundant number, since it is smaller than the sum of its proper divisors (324656636024).

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

130011030000 is a wasteful number, since it uses less digits than its factorization.

130011030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444601 (or 1444577 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 130011030000 its reverse (30110031), we get a palindrome (130041140031).

The spelling of 130011030000 in words is "one hundred thirty billion, eleven million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1444567 2889134 4333701 5778268 7222835 8667402 11556536 13001103 14445670 17334804 21668505 23113072 26002206 28891340 34669608 36114175 43337010 52004412 57782680 65005515 69339216 72228350 86674020 104008824 108342525 115565360 130011030 144456700 173348040 180570875 208017648 216685050 260022060 288913400 325027575 346696080 361141750 433370100 520044120 541712625 577826800 650055150 722283500 866740200 902854375 1040088240 1083425250 1300110300 1444567000 1625137875 1733480400 1805708750 2166850500 2600220600 2708563125 2889134000 3250275750 3611417500 4333701000 5200441200 5417126250 6500551500 7222835000 8125689375 8667402000 10834252500 13001103000 14445670000 16251378750 21668505000 26002206000 32502757500 43337010000 65005515000 130011030000