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20010530000 = 245417117709
BaseRepresentation
bin10010101000101110…
…000111010011010000
31220122120100020200202
4102220232013103100
5311440143430000
613105343034332
71305610461416
oct225056072320
956576306622
1020010530000
1185394713aa
123a6559b9a8
131b6b9237c6
14d7b8672b6
157c1b4add5
hex4a8b874d0

20010530000 has 100 divisors (see below), whose sum is σ = 51297782580. Its totient is φ = 7533312000.

The previous prime is 20010529969. The next prime is 20010530003. The reversal of 20010530000 is 3501002.

It can be written as a sum of positive squares in 10 ways, for example, as 13645043344 + 6365486656 = 116812^2 + 79784^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010530003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111146 + ... + 228854.

Almost surely, 220010530000 is an apocalyptic number.

20010530000 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 20010530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648891290).

20010530000 is an abundant number, since it is smaller than the sum of its proper divisors (31287252580).

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

20010530000 is a wasteful number, since it uses less digits than its factorization.

20010530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117754 (or 117733 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The spelling of 20010530000 in words is "twenty billion, ten million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 117709 170000 235418 470836 588545 941672 1177090 1883344 2001053 2354180 2942725 4002106 4708360 5885450 8004212 9416720 10005265 11770900 14713625 16008424 20010530 23541800 29427250 32016848 40021060 47083600 50026325 58854500 73568125 80042120 100052650 117709000 147136250 160084240 200105300 235418000 250131625 294272500 400210600 500263250 588545000 800421200 1000526500 1177090000 1250658125 2001053000 2501316250 4002106000 5002632500 10005265000 20010530000