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13481100 = 2233524993
BaseRepresentation
bin110011011011…
…010010001100
3221100220121000
4303123102030
511422343400
61200540300
7222405333
oct63332214
927326530
1013481100
117678606
124621690
132a401a9
141b0cd1a
1512b4600
hexcdb48c

13481100 has 72 divisors (see below), whose sum is σ = 43347920. Its totient is φ = 3594240.

The previous prime is 13481099. The next prime is 13481107. The reversal of 13481100 is 118431.

13481100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13481107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204 + ... + 5196.

Almost surely, 213481100 is an apocalyptic number.

13481100 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 13481100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21673960).

13481100 is an abundant number, since it is smaller than the sum of its proper divisors (29866820).

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

13481100 is a wasteful number, since it uses less digits than its factorization.

13481100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13481100 is about 3671.6617491267. The cubic root of 13481100 is about 237.9989878261.

Adding to 13481100 its reverse (118431), we get a palindrome (13599531).

The spelling of 13481100 in words is "thirteen million, four hundred eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4993 9986 14979 19972 24965 29958 44937 49930 59916 74895 89874 99860 124825 134811 149790 179748 224685 249650 269622 299580 374475 449370 499300 539244 674055 748950 898740 1123425 1348110 1497900 2246850 2696220 3370275 4493700 6740550 13481100