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13235225000 = 2355631839
BaseRepresentation
bin11000101001110000…
…11000000110101000
31021011101102002111112
430110320120012220
5204101204200000
610025152445452
7645660361544
oct142470300650
937141362445
1013235225000
115681a37488
122694549888
13132c0402aa
148d7abaa24
15526e18235
hex314e181a8

13235225000 has 96 divisors (see below), whose sum is σ = 31104259200. Its totient is φ = 5279400000.

The previous prime is 13235224997. The next prime is 13235225009. The reversal of 13235225000 is 52253231.

It is not an unprimeable number, because it can be changed into a prime (13235225009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15774581 + ... + 15775419.

It is an arithmetic number, because the mean of its divisors is an integer number (324002700).

Almost surely, 213235225000 is an apocalyptic number.

13235225000 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 13235225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552129600).

13235225000 is an abundant number, since it is smaller than the sum of its proper divisors (17869034200).

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

13235225000 is an frugal number, since it uses more digits than its factorization.

13235225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 13235225000 its reverse (52253231), we get a palindrome (13287478231).

The spelling of 13235225000 in words is "thirteen billion, two hundred thirty-five million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 631 839 1000 1250 1262 1678 2500 2524 3125 3155 3356 4195 5000 5048 6250 6310 6712 8390 12500 12620 15775 16780 20975 25000 25240 31550 33560 41950 63100 78875 83900 104875 126200 157750 167800 209750 315500 394375 419500 524375 529409 631000 788750 839000 1048750 1058818 1577500 1971875 2097500 2117636 2621875 2647045 3155000 3943750 4195000 4235272 5243750 5294090 7887500 10487500 10588180 13235225 15775000 20975000 21176360 26470450 52940900 66176125 105881800 132352250 264704500 330880625 529409000 661761250 1323522500 1654403125 2647045000 3308806250 6617612500 13235225000