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20000130301000 = 2353172113556781
BaseRepresentation
bin1001000110000101001001…
…01010010111110001001000
32121210222211110122111000201
410203002210222113301020
510110140231324113000
6110311533310541544
74132650605405113
oct443024452276110
977728743574021
1020000130301000
11641100a175113
1222b01ab2078b4
13b210092a6515
144d202369957a
1524a3b152396a
hex1230a4a97c48

20000130301000 has 128 divisors (see below), whose sum is σ = 49576804673760. Its totient is φ = 7525883904000.

The previous prime is 20000130300991. The next prime is 20000130301091. The reversal of 20000130301000 is 10303100002.

It can be written as a sum of positive squares in 16 ways, for example, as 5250889756324 + 14749240544676 = 2291482^2 + 3840474^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35642610 + ... + 36199390.

Almost surely, 220000130301000 is an apocalyptic number.

20000130301000 is a gapful number since it is divisible by the number (20) 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 20000130301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24788402336880).

20000130301000 is an abundant number, since it is smaller than the sum of its proper divisors (29576674372760).

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

20000130301000 is a wasteful number, since it uses less digits than its factorization.

20000130301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558932 (or 558918 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 20000130301000 its reverse (10303100002), we get a palindrome (20010433401002).

The spelling of 20000130301000 in words is "twenty trillion, one hundred thirty million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2113 2125 3400 4226 4250 8452 8500 10565 16904 17000 21130 35921 42260 52825 71842 84520 105650 143684 179605 211300 264125 287368 359210 422600 528250 556781 718420 898025 1056500 1113562 1436840 1796050 2113000 2227124 2783905 3592100 4454248 4490125 5567810 7184200 8980250 9465277 11135620 13919525 17960500 18930554 22271240 27839050 35921000 37861108 47326385 55678100 69597625 75722216 94652770 111356200 139195250 189305540 236631925 278390500 378611080 473263850 556781000 946527700 1176478253 1183159625 1893055400 2352956506 2366319250 4705913012 4732638500 5882391265 9411826024 9465277000 11764782530 20000130301 23529565060 29411956325 40000260602 47059130120 58823912650 80000521204 100000651505 117647825300 147059781625 160001042408 200001303010 235295650600 294119563250 400002606020 500003257525 588239126500 800005212040 1000006515050 1176478253000 2000013030100 2500016287625 4000026060200 5000032575250 10000065150500 20000130301000