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14532100000 = 25551121201
BaseRepresentation
bin11011000100010111…
…00011111110100000
31101111202201011112221
431202023203332200
5214230204200000
610402001200424
71023055545325
oct154213437640
941452634487
1014532100000
116187a9a900
122996930114
1314a7922a52
149bc026b4c
155a0bdc61a
hex3622e3fa0

14532100000 has 216 divisors, whose sum is σ = 39339505548. Its totient is φ = 5280000000.

The previous prime is 14532099977. The next prime is 14532100001. The reversal of 14532100000 is 123541.

14532100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6419855376 + 8112244624 = 80124^2 + 90068^2 .

It is a super-2 number, since 2×145321000002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14532100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12099400 + ... + 12100600.

Almost surely, 214532100000 is an apocalyptic number.

14532100000 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 14532100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669752774).

14532100000 is an abundant number, since it is smaller than the sum of its proper divisors (24807405548).

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

14532100000 is an equidigital number, since it uses as much as digits as its factorization.

14532100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 14532100000 its reverse (123541), we get a palindrome (14532223541).

The spelling of 14532100000 in words is "fourteen billion, five hundred thirty-two million, one hundred thousand".