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1124040100 = 225211240401
BaseRepresentation
bin100001011111111…
…0111110110100100
32220100002011010211
41002333313312210
54300223240400
6303312025204
736566116561
oct10277676644
92810064124
101124040100
11527544a67
12274532204
1314bb49cb1
14a93d9868
1568a33dba
hex42ff7da4

1124040100 has 18 divisors (see below), whose sum is σ = 2439167234. Its totient is φ = 449616000.

The previous prime is 1124040097. The next prime is 1124040103. The reversal of 1124040100 is 10404211.

It is an interprime number because it is at equal distance from previous prime (1124040097) and next prime (1124040103).

It can be written as a sum of positive squares in 3 ways, for example, as 18610596 + 1105429504 = 4314^2 + 33248^2 .

It is a super-2 number, since 2×11240401002 = 2526932292816020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1124040103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5620101 + ... + 5620300.

Almost surely, 21124040100 is an apocalyptic number.

1124040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124040100 is an abundant number, since it is smaller than the sum of its proper divisors (1315127134).

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

1124040100 is a wasteful number, since it uses less digits than its factorization.

1124040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11240415 (or 11240408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1124040100 is about 33526.7072645078. The cubic root of 1124040100 is about 1039.7460240275.

Adding to 1124040100 its reverse (10404211), we get a palindrome (1134444311).

The spelling of 1124040100 in words is "one billion, one hundred twenty-four million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11240401 22480802 44961604 56202005 112404010 224808020 281010025 562020050 1124040100