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23241112400 = 24521141128831
BaseRepresentation
bin10101101001010001…
…110011101101010000
32012222201020211121202
4111221101303231100
5340044211044100
614402105410332
71451636124122
oct255121635520
965881224552
1023241112400
119947002810
1246074999a8
13226500c41c
1411a6933212
1591058a7d5
hex569473b50

23241112400 has 120 divisors (see below), whose sum is σ = 62399006208. Its totient is φ = 8245120000.

The previous prime is 23241112399. The next prime is 23241112439. The reversal of 23241112400 is 421114232.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 115985 + ... + 244815.

Almost surely, 223241112400 is an apocalyptic number.

23241112400 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 23241112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31199503104).

23241112400 is an abundant number, since it is smaller than the sum of its proper divisors (39157893808).

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

23241112400 is a wasteful number, since it uses less digits than its factorization.

23241112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128901 (or 128890 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 23241112400 its reverse (421114232), we get a palindrome (23662226632).

The spelling of 23241112400 in words is "twenty-three billion, two hundred forty-one million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 164 176 200 205 220 275 328 400 410 440 451 550 656 820 880 902 1025 1100 1640 1804 2050 2200 2255 3280 3608 4100 4400 4510 7216 8200 9020 11275 16400 18040 22550 36080 45100 90200 128831 180400 257662 515324 644155 1030648 1288310 1417141 2061296 2576620 2834282 3220775 5153240 5282071 5668564 6441550 7085705 10306480 10564142 11337128 12883100 14171410 21128284 22674256 25766200 26410355 28342820 35428525 42256568 51532400 52820710 56685640 58102781 70857050 84513136 105641420 113371280 116205562 132051775 141714100 211282840 232411124 264103550 283428200 290513905 422565680 464822248 528207100 566856400 581027810 929644496 1056414200 1162055620 1452569525 2112828400 2324111240 2905139050 4648222480 5810278100 11620556200 23241112400