Search a number
-
+
13154324052000 = 2535341103259577
BaseRepresentation
bin1011111101101011101011…
…0011111111100000100000
31201120112121110102122101010
42333122322303333200200
53211010023424131000
643551002452340520
72525240261402265
oct277327263774040
951515543378333
1013154324052000
114211798aa413a
121585490614740
137455a8028911
1433695bba126c
1517c292b9bd50
hexbf6bacff820

13154324052000 has 384 divisors, whose sum is σ = 44573388507648. Its totient is φ = 3389024256000.

The previous prime is 13154324051993. The next prime is 13154324052007. The reversal of 13154324052000 is 25042345131.

It is an interprime number because it is at equal distance from previous prime (13154324051993) and next prime (13154324052007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13154324052007) 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, 50546212 + ... + 50805788.

It is an arithmetic number, because the mean of its divisors is an integer number (116076532572).

Almost surely, 213154324052000 is an apocalyptic number.

13154324052000 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 13154324052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286694253824).

13154324052000 is an abundant number, since it is smaller than the sum of its proper divisors (31419064455648).

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

13154324052000 is a wasteful number, since it uses less digits than its factorization.

13154324052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259749 (or 259731 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13154324052000 its reverse (25042345131), we get a palindrome (13179366397131).

The spelling of 13154324052000 in words is "thirteen trillion, one hundred fifty-four billion, three hundred twenty-four million, fifty-two thousand".