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13032111200 = 255238342533
BaseRepresentation
bin11000010001100011…
…00011110001100000
31020122020012211202012
430020301203301200
5203142210024300
65553055212052
7640643055203
oct141061436140
936566184665
1013032111200
115588318039
122638517028
1312c8c35904
148b8b2793a
15514196435
hex308c63c60

13032111200 has 72 divisors (see below), whose sum is σ = 31898458368. Its totient is φ = 5199111680.

The previous prime is 13032111199. The next prime is 13032111203. The reversal of 13032111200 is 211123031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285134 + ... + 327666.

It is an arithmetic number, because the mean of its divisors is an integer number (443034144).

Almost surely, 213032111200 is an apocalyptic number.

13032111200 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 13032111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949229184).

13032111200 is an abundant number, since it is smaller than the sum of its proper divisors (18866347168).

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

13032111200 is a wasteful number, since it uses less digits than its factorization.

13032111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42936 (or 42923 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13032111200 its reverse (211123031), we get a palindrome (13243234231).

The spelling of 13032111200 in words is "thirteen billion, thirty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 383 400 766 800 1532 1915 3064 3830 6128 7660 9575 12256 15320 19150 30640 38300 42533 61280 76600 85066 153200 170132 212665 306400 340264 425330 680528 850660 1063325 1361056 1701320 2126650 3402640 4253300 6805280 8506600 16290139 17013200 32580278 34026400 65160556 81450695 130321112 162901390 260642224 325802780 407253475 521284448 651605560 814506950 1303211120 1629013900 2606422240 3258027800 6516055600 13032111200