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13150222320000 = 27354311767503
BaseRepresentation
bin1011111101011100011001…
…0101001000000110000000
31201120011000121022001212010
42333113012111020012000
53210423123403220000
643545043450132520
72525033524301043
oct277270625100600
951504017261763
1013150222320000
11420aa83746187
121584726a21140
137450a330826c
1433668d128c5a
1517c102a2dd50
hexbf5c6548180

13150222320000 has 320 divisors, whose sum is σ = 45056929167360. Its totient is φ = 3393603840000.

The previous prime is 13150222319989. The next prime is 13150222320007. The reversal of 13150222320000 is 2322205131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13150222320007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6556249 + ... + 8323751.

It is an arithmetic number, because the mean of its divisors is an integer number (140802903648).

Almost surely, 213150222320000 is an apocalyptic number.

13150222320000 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 13150222320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22528464583680).

13150222320000 is an abundant number, since it is smaller than the sum of its proper divisors (31906706847360).

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

13150222320000 is an equidigital number, since it uses as much as digits as its factorization.

13150222320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767571 (or 1767544 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 13150222320000 its reverse (2322205131), we get a palindrome (13152544525131).

The spelling of 13150222320000 in words is "thirteen trillion, one hundred fifty billion, two hundred twenty-two million, three hundred twenty thousand".