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23410133400 = 2335283470083
BaseRepresentation
bin10101110011010110…
…100100100110011000
32020102111021222211210
4111303112210212120
5340420443232100
614430544223120
71456060564533
oct256326444630
966374258753
1023410133400
119a23456795
12465400aaa0
13229103ac54
1411c116da1a
15920325c50
hex5735a4998

23410133400 has 96 divisors (see below), whose sum is σ = 73445924160. Its totient is φ = 6167475840.

The previous prime is 23410133389. The next prime is 23410133431. The reversal of 23410133400 is 433101432.

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, 185242 + ... + 284841.

It is an arithmetic number, because the mean of its divisors is an integer number (765061710).

Almost surely, 223410133400 is an apocalyptic number.

23410133400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23410133400 is an abundant number, since it is smaller than the sum of its proper divisors (50035790760).

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

23410133400 is a wasteful number, since it uses less digits than its factorization.

23410133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470185 (or 470176 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23410133400 its reverse (433101432), we get a palindrome (23843234832).

The spelling of 23410133400 in words is "twenty-three billion, four hundred ten million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 470083 940166 1410249 1880332 2350415 2820498 3760664 4700830 5640996 7051245 9401660 11281992 11752075 14102490 18803320 23504150 28204980 35256225 39016889 47008300 56409960 70512450 78033778 94016600 117050667 141024900 156067556 195084445 234101334 282049800 312135112 390168890 468202668 585253335 780337780 936405336 975422225 1170506670 1560675560 1950844450 2341013340 2926266675 3901688900 4682026680 5852533350 7803377800 11705066700 23410133400