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13312200 = 23352112017
BaseRepresentation
bin110010110010…
…000011001000
3221001022220110
4302302003020
511401442300
61153154320
7221103036
oct62620310
927038813
1013312200
117572720
12455b9a0
1329b1355
141aa7556
15127e550
hexcb20c8

13312200 has 96 divisors (see below), whose sum is σ = 45041760. Its totient is φ = 3225600.

The previous prime is 13312199. The next prime is 13312231. The reversal of 13312200 is 221331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5592 + ... + 7608.

It is an arithmetic number, because the mean of its divisors is an integer number (469185).

Almost surely, 213312200 is an apocalyptic number.

13312200 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 13312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22520880).

13312200 is an abundant number, since it is smaller than the sum of its proper divisors (31729560).

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

13312200 is a wasteful number, since it uses less digits than its factorization.

13312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13312200 is about 3648.5887682774. The cubic root of 13312200 is about 237.0008723641. Note that the first 3 decimals are identical.

Adding to 13312200 its reverse (221331), we get a palindrome (13533531).

It can be divided in two parts, 13 and 312200, that added together give a palindrome (312213).

The spelling of 13312200 in words is "thirteen million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2017 2200 3300 4034 6051 6600 8068 10085 12102 16136 20170 22187 24204 30255 40340 44374 48408 50425 60510 66561 80680 88748 100850 110935 121020 133122 151275 177496 201700 221870 242040 266244 302550 332805 403400 443740 532488 554675 605100 665610 887480 1109350 1210200 1331220 1664025 2218700 2662440 3328050 4437400 6656100 13312200