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2021100210 = 2325373371801
BaseRepresentation
bin111100001110111…
…1000101010110010
312012212001112021100
41320131320222302
513114400201320
6532315105230
7101041032303
oct17035705262
95185045240
102021100210
11947949558
12484a42216
132629544ac
141525cc7aa
15bc67e790
hex78778ab2

2021100210 has 96 divisors (see below), whose sum is σ = 5415903792. Its totient is φ = 522547200.

The previous prime is 2021100197. The next prime is 2021100217. The reversal of 2021100210 is 120011202.

It can be written as a sum of positive squares in 8 ways, for example, as 670758201 + 1350342009 = 25899^2 + 36747^2 .

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 = 2021100192 and 2021100201.

It is not an unprimeable number, because it can be changed into a prime (2021100217) 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 47 ways as a sum of consecutive naturals, for example, 1121310 + ... + 1123110.

Almost surely, 22021100210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707951896).

2021100210 is an abundant number, since it is smaller than the sum of its proper divisors (3394803582).

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

2021100210 is a wasteful number, since it uses less digits than its factorization.

2021100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2185 counting only the distinct ones).

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

The square root of 2021100210 is about 44956.6481179369. The cubic root of 2021100210 is about 1264.3363253566.

Adding to 2021100210 its reverse (120011202), we get a palindrome (2141111412).

The spelling of 2021100210 in words is "two billion, twenty-one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 337 370 555 666 674 1011 1110 1665 1685 1801 2022 3033 3330 3370 3602 5055 5403 6066 9005 10110 10806 12469 15165 16209 18010 24938 27015 30330 32418 37407 54030 62345 66637 74814 81045 112221 124690 133274 162090 187035 199911 224442 333185 374070 399822 561105 599733 606937 666370 999555 1122210 1199466 1213874 1820811 1999110 2998665 3034685 3641622 5462433 5997330 6069370 9104055 10924866 18208110 22456669 27312165 44913338 54624330 67370007 112283345 134740014 202110021 224566690 336850035 404220042 673700070 1010550105 2021100210