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11124424100 = 2252111244241
BaseRepresentation
bin10100101110001000…
…10011110110100100
31001201021120022000102
422113010103312210
5140240323032400
65035511003232
7542450021216
oct122704236644
931637508012
1011124424100
1147994a1529
1221a5669518
13108394018a
1477761c5b6
1545196a9d5
hex297113da4

11124424100 has 18 divisors (see below), whose sum is σ = 24140000514. Its totient is φ = 4449769600.

The previous prime is 11124424093. The next prime is 11124424109. The reversal of 11124424100 is 142442111.

It can be written as a sum of positive squares in 3 ways, for example, as 3388869796 + 7735554304 = 58214^2 + 87952^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11124424109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55622021 + ... + 55622220.

Almost surely, 211124424100 is an apocalyptic number.

11124424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11124424100 is an abundant number, since it is smaller than the sum of its proper divisors (13015576414).

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

11124424100 is a wasteful number, since it uses less digits than its factorization.

11124424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111244255 (or 111244248 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11124424100 its reverse (142442111), we get a palindrome (11266866211).

The spelling of 11124424100 in words is "eleven billion, one hundred twenty-four million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 111244241 222488482 444976964 556221205 1112442410 2224884820 2781106025 5562212050 11124424100