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13033400500 = 2253241108161
BaseRepresentation
bin11000010001101100…
…11110100010110100
31020122022122100100001
430020312132202310
5203143022304000
65553143001044
7640660035121
oct141066364264
936568570301
1013033400500
11558901877a
122638a39184
1312c9297703
148b8d81748
1551434d46a
hex308d9e8b4

13033400500 has 48 divisors (see below), whose sum is σ = 28583322768. Its totient is φ = 5191680000.

The previous prime is 13033400449. The next prime is 13033400503. The reversal of 13033400500 is 500433031.

It can be written as a sum of positive squares in 8 ways, for example, as 1340438544 + 11692961956 = 36612^2 + 108134^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033400503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66420 + ... + 174580.

It is an arithmetic number, because the mean of its divisors is an integer number (595485891).

Almost surely, 213033400500 is an apocalyptic number.

13033400500 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 13033400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14291661384).

13033400500 is an abundant number, since it is smaller than the sum of its proper divisors (15549922268).

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

13033400500 is a wasteful number, since it uses less digits than its factorization.

13033400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108421 (or 108409 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

Adding to 13033400500 its reverse (500433031), we get a palindrome (13533833531).

The spelling of 13033400500 in words is "thirteen billion, thirty-three million, four hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 241 250 482 500 964 1205 2410 4820 6025 12050 24100 30125 60250 108161 120500 216322 432644 540805 1081610 2163220 2704025 5408050 10816100 13520125 26066801 27040250 52133602 54080500 104267204 130334005 260668010 521336020 651670025 1303340050 2606680100 3258350125 6516700250 13033400500