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23332103300 = 22521123894957
BaseRepresentation
bin10101101110101100…
…111010010010000100
32020020001110122200002
4111232230322102010
5340241004301200
614415115540432
71454122414532
oct255654722204
966201418602
1023332103300
119993400600
124631a5a718
13227ab1a3ac
1411b4a5b152
15918560bd5
hex56eb3a484

23332103300 has 108 divisors (see below), whose sum is σ = 55806206820. Its totient is φ = 8460883200.

The previous prime is 23332103299. The next prime is 23332103309. The reversal of 23332103300 is 330123332.

It can be written as a sum of positive squares in 6 ways, for example, as 181872196 + 23150231104 = 13486^2 + 152152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23332103309) 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 35 ways as a sum of consecutive naturals, for example, 4704422 + ... + 4709378.

Almost surely, 223332103300 is an apocalyptic number.

23332103300 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 23332103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27903103410).

23332103300 is an abundant number, since it is smaller than the sum of its proper divisors (32474103520).

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

23332103300 is a wasteful number, since it uses less digits than its factorization.

23332103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 23332103300 its reverse (330123332), we get a palindrome (23662226632).

The spelling of 23332103300 in words is "twenty-three billion, three hundred thirty-two million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 389 484 550 605 778 1100 1210 1556 1945 2420 3025 3890 4279 4957 6050 7780 8558 9725 9914 12100 17116 19450 19828 21395 24785 38900 42790 47069 49570 54527 85580 94138 99140 106975 109054 123925 188276 213950 218108 235345 247850 272635 427900 470690 495700 545270 599797 941380 1090540 1176725 1199594 1363175 1928273 2353450 2399188 2726350 2998985 3856546 4706900 5452700 5997970 7713092 9641365 11995940 14994925 19282730 21211003 29989850 38565460 42422006 48206825 59979700 84844012 96413650 106055015 192827300 212110030 233321033 424220060 466642066 530275075 933284132 1060550150 1166605165 2121100300 2333210330 4666420660 5833025825 11666051650 23332103300