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13202122440 = 233513371271801
BaseRepresentation
bin11000100101110100…
…00110011011001000
31021002002010022022210
430102322012123020
5204014220404230
610022011145120
7645106121613
oct142272063310
937062108283
1013202122440
115665287aa1
1226854451a0
131325220090
148d354117a
15524079eb0
hex312e866c8

13202122440 has 256 divisors, whose sum is σ = 44175237120. Its totient is φ = 3135283200.

The previous prime is 13202122369. The next prime is 13202122441. The reversal of 13202122440 is 4422120231.

It is not an unprimeable number, because it can be changed into a prime (13202122441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7329540 + ... + 7331340.

It is an arithmetic number, because the mean of its divisors is an integer number (172559520).

Almost surely, 213202122440 is an apocalyptic number.

13202122440 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 13202122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087618560).

13202122440 is an abundant number, since it is smaller than the sum of its proper divisors (30973114680).

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

13202122440 is a wasteful number, since it uses less digits than its factorization.

13202122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13202122440 its reverse (4422120231), we get a palindrome (17624242671).

The spelling of 13202122440 in words is "thirteen billion, two hundred two million, one hundred twenty-two thousand, four hundred forty".