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23135235240 = 233513194311811
BaseRepresentation
bin10101100010111101…
…111010110010101000
32012201100000201110110
4111202331322302220
5334340110011430
614343404214320
71446212153265
oct254275726250
965640021413
1023135235240
1198a2267727
124597b3a3a0
1322490bb810
14119685226c
159061247b0
hex562f7aca8

23135235240 has 256 divisors, whose sum is σ = 78904627200. Its totient is φ = 5379609600.

The previous prime is 23135235217. The next prime is 23135235323. The reversal of 23135235240 is 4253253132.

It is a super-2 number, since 2×231352352402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23135235198 and 23135235207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12773935 + ... + 12775745.

It is an arithmetic number, because the mean of its divisors is an integer number (308221200).

Almost surely, 223135235240 is an apocalyptic number.

23135235240 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 23135235240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39452313600).

23135235240 is an abundant number, since it is smaller than the sum of its proper divisors (55769391960).

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

23135235240 is a wasteful number, since it uses less digits than its factorization.

23135235240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 23135235240 its reverse (4253253132), we get a palindrome (27388488372).

The spelling of 23135235240 in words is "twenty-three billion, one hundred thirty-five million, two hundred thirty-five thousand, two hundred forty".