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13201102304 = 251344371633
BaseRepresentation
bin11000100101101100…
…01101010111100000
31021002000012110221222
430102312031113200
5204013440233204
610021533234212
7645064342505
oct142266152740
937060173858
1013201102304
115664750605
122685032968
131324c53950
148d33574ac
15523e27abe
hex312d8d5e0

13201102304 has 48 divisors (see below), whose sum is σ = 28052447472. Its totient is φ = 6078978048.

The previous prime is 13201102273. The next prime is 13201102337. The reversal of 13201102304 is 40320110231.

It is a super-3 number, since 3×132011023043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148472 + ... + 220104.

It is an arithmetic number, because the mean of its divisors is an integer number (584425989).

Almost surely, 213201102304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026223736).

13201102304 is an abundant number, since it is smaller than the sum of its proper divisors (14851345168).

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

13201102304 is a wasteful number, since it uses less digits than its factorization.

13201102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72099 (or 72091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13201102304 its reverse (40320110231), we get a palindrome (53521212535).

The spelling of 13201102304 in words is "thirteen billion, two hundred one million, one hundred two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 443 886 1772 3544 5759 7088 11518 14176 23036 46072 71633 92144 143266 184288 286532 573064 931229 1146128 1862458 2292256 3724916 7449832 14899664 29799328 31733419 63466838 126933676 253867352 412534447 507734704 825068894 1015469408 1650137788 3300275576 6600551152 13201102304