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13230421000 = 235355723753
BaseRepresentation
bin11000101001001100…
…00011010000001000
31021011001101000122121
430110212003100020
5204043441433000
610024501501024
7645601502656
oct142446032010
937131330577
1013230421000
11567a256135
122692a11774
13132b04a7a4
148d71c9dd6
155267b9b1a
hex314983408

13230421000 has 64 divisors (see below), whose sum is σ = 31016072880. Its totient is φ = 5282444800.

The previous prime is 13230420991. The next prime is 13230421019. The reversal of 13230421000 is 12403231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29789764 + 13200631236 = 5458^2 + 114894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545124 + ... + 568876.

Almost surely, 213230421000 is an apocalyptic number.

13230421000 is a gapful number since it is divisible by the number (10) 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 13230421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508036440).

13230421000 is an abundant number, since it is smaller than the sum of its proper divisors (17785651880).

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

13230421000 is a wasteful number, since it uses less digits than its factorization.

13230421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24331 (or 24317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13230421000 its reverse (12403231), we get a palindrome (13242824231).

The spelling of 13230421000 in words is "thirteen billion, two hundred thirty million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 557 1000 1114 2228 2785 4456 5570 11140 13925 22280 23753 27850 47506 55700 69625 95012 111400 118765 139250 190024 237530 278500 475060 557000 593825 950120 1187650 2375300 2969125 4750600 5938250 11876500 13230421 23753000 26460842 52921684 66152105 105843368 132304210 264608420 330760525 529216840 661521050 1323042100 1653802625 2646084200 3307605250 6615210500 13230421000