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13111230000 = 243541167593
BaseRepresentation
bin11000011010111110…
…10111111000110000
31020211202002111100010
430031133113320300
5203322433330000
610005003054520
7642623421231
oct141537277060
936752074303
1013111230000
115618a47180
12265ab11440
13130c447b7b
148c5441088
1551b0c3d50
hex30d7d7e30

13111230000 has 400 divisors, whose sum is σ = 46940674176. Its totient is φ = 3125760000.

The previous prime is 13111229987. The next prime is 13111230007. The reversal of 13111230000 is 3211131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×131112300002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13111230007) 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 79 ways as a sum of consecutive naturals, for example, 22109704 + ... + 22110296.

Almost surely, 213111230000 is an apocalyptic number.

13111230000 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 13111230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470337088).

13111230000 is an abundant number, since it is smaller than the sum of its proper divisors (33829444176).

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

13111230000 is a wasteful number, since it uses less digits than its factorization.

13111230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13111230000 its reverse (3211131), we get a palindrome (13114441131).

The spelling of 13111230000 in words is "thirteen billion, one hundred eleven million, two hundred thirty thousand".