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210100102020 = 22345129691421
BaseRepresentation
bin1100001110101011110…
…0010010001110000100
3202002022020102000210000
43003222330102032010
511420241111231040
6240304010201300
721115322254404
oct3035274221604
9662266360700
10210100102020
1181115037356
1234876123230
1316a739876c3
14a251660804
1556ea007130
hex30eaf12384

210100102020 has 60 divisors (see below), whose sum is σ = 659091806604. Its totient is φ = 56026693440.

The previous prime is 210100102013. The next prime is 210100102097. The reversal of 210100102020 is 20201001012.

It can be written as a sum of positive squares in 2 ways, for example, as 65414200644 + 144685901376 = 255762^2 + 380376^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×2101001020203 (a number of 35 digits) contains 333 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 = 210100101993 and 210100102011.

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 19 ways as a sum of consecutive naturals, for example, 64844091 + ... + 64847330.

Almost surely, 2210100102020 is an apocalyptic number.

210100102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100102020 is an abundant number, since it is smaller than the sum of its proper divisors (448991704584).

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

210100102020 is a wasteful number, since it uses less digits than its factorization.

210100102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129691442 (or 129691431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210100102020 its reverse (20201001012), we get a palindrome (230301103032).

The spelling of 210100102020 in words is "two hundred ten billion, one hundred million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 129691421 259382842 389074263 518765684 648457105 778148526 1167222789 1296914210 1556297052 1945371315 2334445578 2593828420 3501668367 3890742630 4668891156 5836113945 7003336734 7781485260 10505005101 11672227890 14006673468 17508341835 21010010202 23344455780 35016683670 42020020404 52525025505 70033367340 105050051010 210100102020