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23213333100 = 22352379204163
BaseRepresentation
bin10101100111100111…
…110101101001101100
32012220202222111120210
4111213213311221230
5340020103124400
614355234142420
71451151034656
oct254747655154
965822874523
1023213333100
119932359811
1245ba121a10
13225c334179
1411a2d816d6
1590cdee950
hex5679f5a6c

23213333100 has 72 divisors (see below), whose sum is σ = 67341453760. Its totient is φ = 6173858880.

The previous prime is 23213333089. The next prime is 23213333147. The reversal of 23213333100 is 133331232.

It is a super-2 number, since 2×232133331002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11619 + ... + 215781.

Almost surely, 223213333100 is an apocalyptic number.

23213333100 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 23213333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33670726880).

23213333100 is an abundant number, since it is smaller than the sum of its proper divisors (44128120660).

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

23213333100 is a wasteful number, since it uses less digits than its factorization.

23213333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204559 (or 204552 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23213333100 its reverse (133331232), we get a palindrome (23346664332).

The spelling of 23213333100 in words is "twenty-three billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 379 758 1137 1516 1895 2274 3790 4548 5685 7580 9475 11370 18950 22740 28425 37900 56850 113700 204163 408326 612489 816652 1020815 1224978 2041630 2449956 3062445 4083260 5104075 6124890 10208150 12249780 15312225 20416300 30624450 61248900 77377777 154755554 232133331 309511108 386888885 464266662 773777770 928533324 1160666655 1547555540 1934444425 2321333310 3868888850 4642666620 5803333275 7737777700 11606666550 23213333100