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20321100212 = 227171013311277
BaseRepresentation
bin10010111011001110…
…110110000110110100
31221110012201211221012
4102323032312012310
5313104200201322
613200235411352
71316401334060
oct227316660664
957405654835
1020321100212
1186888053a6
123b315b3b58
131bbb08286a
14daabccaa0
157de046ae2
hex4bb3b61b4

20321100212 has 96 divisors (see below), whose sum is σ = 43624417536. Its totient is φ = 8084736000.

The previous prime is 20321100203. The next prime is 20321100287. The reversal of 20321100212 is 21200112302.

It is a happy number.

It is a super-2 number, since 2×203211002122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15912518 + ... + 15913794.

It is an arithmetic number, because the mean of its divisors is an integer number (454421016).

Almost surely, 220321100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812208768).

20321100212 is an abundant number, since it is smaller than the sum of its proper divisors (23303317324).

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

20321100212 is a wasteful number, since it uses less digits than its factorization.

20321100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20321100212 its reverse (21200112302), we get a palindrome (41521212514).

The spelling of 20321100212 in words is "twenty billion, three hundred twenty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 101 119 202 238 331 404 476 662 707 1277 1324 1414 1717 2317 2554 2828 3434 4634 5108 5627 6868 8939 9268 11254 12019 17878 21709 22508 24038 33431 35756 39389 43418 48076 66862 78778 86836 128977 133724 151963 157556 234017 257954 303926 422687 468034 515908 568327 607852 845374 902839 936068 1136654 1690748 1805678 2192609 2273308 2958809 3611356 3978289 4385218 5917618 7185679 7956578 8770436 11835236 14371358 15348263 15913156 28742716 30696526 42691387 50299753 61393052 85382774 100599506 170765548 201199012 298839709 597679418 725753579 1195358836 1451507158 2903014316 5080275053 10160550106 20321100212