Search a number
-
+
210100202000 = 2453138080777
BaseRepresentation
bin1100001110101011110…
…0101010101000010000
3202002022020121002220222
43003222330222220100
511420241122431000
6240304012252212
721115323152033
oct3035274525020
9662266532828
10210100202000
11811150a5487
1234876171068
1316a739c1070
14a25168901a
1556ea026a85
hex30eaf2aa10

210100202000 has 80 divisors (see below), whose sum is σ = 547100993712. Its totient is φ = 77575449600.

The previous prime is 210100201991. The next prime is 210100202009. The reversal of 210100202000 is 202001012.

It is an interprime number because it is at equal distance from previous prime (210100201991) and next prime (210100202009).

It can be written as a sum of positive squares in 8 ways, for example, as 146339911936 + 63760290064 = 382544^2 + 252508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (210100202009) 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 15 ways as a sum of consecutive naturals, for example, 4014389 + ... + 4066388.

Almost surely, 2210100202000 is an apocalyptic number.

210100202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100202000 is an abundant number, since it is smaller than the sum of its proper divisors (337000791712).

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

210100202000 is a wasteful number, since it uses less digits than its factorization.

210100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080813 (or 8080797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 210100202000 its reverse (202001012), we get a palindrome (210302203012).

The spelling of 210100202000 in words is "two hundred ten billion, one hundred million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 8080777 16161554 32323108 40403885 64646216 80807770 105050101 129292432 161615540 202019425 210100202 323231080 404038850 420200404 525250505 646462160 808077700 840400808 1010097125 1050501010 1616155400 1680801616 2020194250 2101002020 2626252525 3232310800 4040388500 4202004040 5252505050 8080777000 8404008080 10505010100 13131262625 16161554000 21010020200 26262525250 42020040400 52525050500 105050101000 210100202000