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13203137640 = 23357112129901
BaseRepresentation
bin11000100101111011…
…11110010001101000
31021002011000212220210
430102331332101220
5204020000401030
610022045021120
7645120550440
oct142275762150
937064025823
1013203137640
115665910800
1226858547a0
1313254b71a4
148d3727120
155241cabb0
hex312f7e468

13203137640 has 192 divisors, whose sum is σ = 49757662080. Its totient is φ = 2743488000.

The previous prime is 13203137621. The next prime is 13203137693. The reversal of 13203137640 is 4673130231.

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 = 13203137598 and 13203137607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36690 + ... + 166590.

It is an arithmetic number, because the mean of its divisors is an integer number (259154490).

Almost surely, 213203137640 is an apocalyptic number.

13203137640 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 13203137640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24878831040).

13203137640 is an abundant number, since it is smaller than the sum of its proper divisors (36554524440).

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

13203137640 is a wasteful number, since it uses less digits than its factorization.

13203137640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129944 (or 129929 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

Adding to 13203137640 its reverse (4673130231), we get a palindrome (17876267871).

The spelling of 13203137640 in words is "thirteen billion, two hundred three million, one hundred thirty-seven thousand, six hundred forty".