Search a number
-
+
13019322240 = 273357310321
BaseRepresentation
bin11000010000000001…
…10001011110000000
31020121100011002121000
430020000301132000
5203130421302430
65551521132000
7640426261461
oct141000613600
936540132530
1013019322240
115581082551
12263418a000
1312c63a8792
148b7158d68
15512ebbe60
hex308031780

13019322240 has 256 divisors, whose sum is σ = 46746273600. Its totient is φ = 3423928320.

The previous prime is 13019322229. The next prime is 13019322241. The reversal of 13019322240 is 4222391031.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13019322241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256280 + ... + 1266600.

Almost surely, 213019322240 is an apocalyptic number.

13019322240 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 13019322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373136800).

13019322240 is an abundant number, since it is smaller than the sum of its proper divisors (33726951360).

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

13019322240 is a wasteful number, since it uses less digits than its factorization.

13019322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10422 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13019322240 in words is "thirteen billion, nineteen million, three hundred twenty-two thousand, two hundred forty".