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13303301040 = 24325175320507
BaseRepresentation
bin11000110001111000…
…00100001110110000
31021100010111201021100
430120330010032300
5204221121113130
610040023524400
7650445123141
oct143074041660
937303451240
1013303301040
115707403a77
1226b32b9700
131340187183
14902b5bac8
1552cdb3c60
hex318f043b0

13303301040 has 240 divisors, whose sum is σ = 48199870368. Its totient is φ = 3275710464.

The previous prime is 13303300991. The next prime is 13303301069. The reversal of 13303301040 is 4010330331.

13303301040 is a `hidden beast` number, since 1 + 330 + 330 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 638467 + ... + 658973.

Almost surely, 213303301040 is an apocalyptic number.

13303301040 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 13303301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24099935184).

13303301040 is an abundant number, since it is smaller than the sum of its proper divisors (34896569328).

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

13303301040 is a wasteful number, since it uses less digits than its factorization.

13303301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20596 (or 20587 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13303301040 its reverse (4010330331), we get a palindrome (17313631371).

The spelling of 13303301040 in words is "thirteen billion, three hundred three million, three hundred one thousand, forty".