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2021103324 = 2232711017829
BaseRepresentation
bin111100001110111…
…1001011011011100
312012212001200112200
41320131321123130
513114400301244
6532315131500
7101041044342
oct17035713334
95185050480
102021103324
11947950929
12484a43b90
13262955a36
141525cd992
15bc680669
hex787796dc

2021103324 has 72 divisors (see below), whose sum is σ = 5232820320. Its totient is φ = 657552000.

The previous prime is 2021103299. The next prime is 2021103407. The reversal of 2021103324 is 4233011202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2021103297 and 2021103306.

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 23 ways as a sum of consecutive naturals, for example, 254242 + ... + 262070.

It is an arithmetic number, because the mean of its divisors is an integer number (72678060).

Almost surely, 22021103324 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 2021103324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616410160).

2021103324 is an abundant number, since it is smaller than the sum of its proper divisors (3211716996).

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

2021103324 is a wasteful number, since it uses less digits than its factorization.

2021103324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2021103324 is about 44956.6827512885. The cubic root of 2021103324 is about 1264.3369746962.

Adding to 2021103324 its reverse (4233011202), we get a palindrome (6254114526).

The spelling of 2021103324 in words is "two billion, twenty-one million, one hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 101 142 202 213 284 303 404 426 606 639 852 909 1212 1278 1818 2556 3636 7171 7829 14342 15658 21513 23487 28684 31316 43026 46974 64539 70461 86052 93948 129078 140922 258156 281844 555859 790729 1111718 1581458 1667577 2223436 2372187 3162916 3335154 4744374 5002731 6670308 7116561 9488748 10005462 14233122 20010924 28466244 56141759 112283518 168425277 224567036 336850554 505275831 673701108 1010551662 2021103324