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23211112000 = 265312972237
BaseRepresentation
bin10101100111011111…
…010111011001000000
32012220121210122210211
4111213133113121000
5340014021041000
614355114403504
71451123124316
oct254737273100
965817718724
1023211112000
119931081a9a
1245b9430594
13225ba371cb
1411a29640b6
1590cb117ba
hex5677d7640

23211112000 has 112 divisors (see below), whose sum is σ = 57552354288. Its totient is φ = 9273139200.

The previous prime is 23211111953. The next prime is 23211112033. The reversal of 23211112000 is 21111232.

It can be written as a sum of positive squares in 8 ways, for example, as 158155776 + 23052956224 = 12576^2 + 151832^2 .

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 15 ways as a sum of consecutive naturals, for example, 10374882 + ... + 10377118.

Almost surely, 223211112000 is an apocalyptic number.

23211112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28776177144).

23211112000 is an abundant number, since it is smaller than the sum of its proper divisors (34341242288).

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

23211112000 is a wasteful number, since it uses less digits than its factorization.

23211112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 23211112000 its reverse (21111232), we get a palindrome (23232223232).

The spelling of 23211112000 in words is "twenty-three billion, two hundred eleven million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1297 1600 2000 2237 2594 4000 4474 5188 6485 8000 8948 10376 11185 12970 17896 20752 22370 25940 32425 35792 41504 44740 51880 55925 64850 71584 83008 89480 103760 111850 129700 143168 162125 178960 207520 223700 259400 279625 324250 357920 415040 447400 518800 559250 648500 715840 894800 1037600 1118500 1297000 1789600 2075200 2237000 2594000 2901389 3579200 4474000 5188000 5802778 8948000 10376000 11605556 14506945 17896000 23211112 29013890 46422224 58027780 72534725 92844448 116055560 145069450 185688896 232111120 290138900 362673625 464222240 580277800 725347250 928444480 1160555600 1450694500 2321111200 2901389000 4642222400 5802778000 11605556000 23211112000