Search a number
-
+
13111300 = 2252131113
BaseRepresentation
bin110010000001…
…000000000100
3220200010022201
4302001000010
511324030200
61145004244
7216305236
oct62010004
926603281
1013111300
117445794
124483684
132940a87
141a54256
15123ec6a
hexc81004

13111300 has 18 divisors (see below), whose sum is σ = 28451738. Its totient is φ = 5244480.

The previous prime is 13111291. The next prime is 13111303. The reversal of 13111300 is 311131.

It can be written as a sum of positive squares in 3 ways, for example, as 93636 + 13017664 = 306^2 + 3608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13111303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65457 + ... + 65656.

Almost surely, 213111300 is an apocalyptic number.

13111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111300 is an abundant number, since it is smaller than the sum of its proper divisors (15340438).

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

13111300 is a wasteful number, since it uses less digits than its factorization.

13111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131127 (or 131120 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 13111300 is about 3620.9529132536. The cubic root of 13111300 is about 235.8025975446.

Adding to 13111300 its reverse (311131), we get a palindrome (13422431).

The spelling of 13111300 in words is "thirteen million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131113 262226 524452 655565 1311130 2622260 3277825 6555650 13111300