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11340100 = 2252151751
BaseRepresentation
bin101011010000…
…100101000100
3210100010200201
4223100211010
510400340400
61043020244
7165250342
oct53204504
923303621
1011340100
116445a92
12396a684
132470825
141712992
15ee006a
hexad0944

11340100 has 36 divisors (see below), whose sum is σ = 24803968. Its totient is φ = 4500000.

The previous prime is 11340097. The next prime is 11340107. The reversal of 11340100 is 104311.

It is a happy number.

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 (11340107) 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, 14725 + ... + 15475.

Almost surely, 211340100 is an apocalyptic number.

11340100 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 11340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401984).

11340100 is an abundant number, since it is smaller than the sum of its proper divisors (13463868).

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

11340100 is a wasteful number, since it uses less digits than its factorization.

11340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11340100 is about 3367.5064959106. The cubic root of 11340100 is about 224.6668320090. Note that the first 3 decimals are identical.

Adding to 11340100 its reverse (104311), we get a palindrome (11444411).

The spelling of 11340100 in words is "eleven million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 751 755 1502 1510 3004 3020 3755 3775 7510 7550 15020 15100 18775 37550 75100 113401 226802 453604 567005 1134010 2268020 2835025 5670050 11340100