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13310200 = 2352611091
BaseRepresentation
bin110010110001…
…100011111000
3221001020011101
4302301203320
511401411300
61153141144
7221064151
oct62614370
927036141
1013310200
117571172
12455a7b4
1329b0477
141aa6928
15127db6a
hexcb18f8

13310200 has 48 divisors (see below), whose sum is σ = 31482360. Its totient is φ = 5232000.

The previous prime is 13310147. The next prime is 13310207. The reversal of 13310200 is 201331.

13310200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133102002 = 354322848080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11655 + ... + 12745.

Almost surely, 213310200 is an apocalyptic number.

13310200 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 13310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15741180).

13310200 is an abundant number, since it is smaller than the sum of its proper divisors (18172160).

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

13310200 is a wasteful number, since it uses less digits than its factorization.

13310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13310200 is about 3648.3146794102. The cubic root of 13310200 is about 236.9890029139.

Adding to 13310200 its reverse (201331), we get a palindrome (13511531).

The spelling of 13310200 in words is "thirteen million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1091 1220 1525 2182 2440 3050 4364 5455 6100 8728 10910 12200 21820 27275 43640 54550 66551 109100 133102 218200 266204 332755 532408 665510 1331020 1663775 2662040 3327550 6655100 13310200