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2100130020 = 2232517686317
BaseRepresentation
bin111110100101101…
…0111000011100100
312102100202122210100
41331023113003210
513300113130040
6544221024100
7103020545022
oct17513270344
95370678710
102100130020
1198851784a
124a73b5030
132761350b1
1415ccc1712
15c4590b30
hex7d2d70e4

2100130020 has 72 divisors (see below), whose sum is σ = 6745133304. Its totient is φ = 527090688.

The previous prime is 2100130013. The next prime is 2100130051. The reversal of 2100130020 is 200310012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 350213796 + 1749916224 = 18714^2 + 41832^2 .

It is a super-2 number, since 2×21001300202 = 8821092201810400800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100129984 and 2100130011.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 340099 + ... + 346218.

It is an arithmetic number, because the mean of its divisors is an integer number (93682407).

Almost surely, 22100130020 is an apocalyptic number.

2100130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100130020 is an abundant number, since it is smaller than the sum of its proper divisors (4645003284).

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

2100130020 is a wasteful number, since it uses less digits than its factorization.

2100130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686349 (or 686344 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100130020 is about 45827.1755621051. The cubic root of 2100130020 is about 1280.6055931568.

Adding to 2100130020 its reverse (200310012), we get a palindrome (2300440032).

The spelling of 2100130020 in words is "two billion, one hundred million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 686317 1372634 2058951 2745268 3431585 4117902 6176853 6863170 8235804 10294755 11667389 12353706 13726340 20589510 23334778 24707412 30884265 35002167 41179020 46669556 58336945 61768530 70004334 105006501 116673890 123537060 140008668 175010835 210013002 233347780 350021670 420026004 525032505 700043340 1050065010 2100130020