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11244400104 = 2337312159063
BaseRepresentation
bin10100111100011011…
…11110110111101000
31002000122022201011010
422132031332313220
5141012031300404
65055434303520
7545434552410
oct123615766750
932018281133
1011244400104
114850197253
122219887ba0
1310a27591b2
1478952d640
1545c269189
hex29e37ede8

11244400104 has 64 divisors (see below), whose sum is σ = 33163223040. Its totient is φ = 3109049280.

The previous prime is 11244400093. The next prime is 11244400109. The reversal of 11244400104 is 40100444211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11244400109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074324 + ... + 1084739.

It is an arithmetic number, because the mean of its divisors is an integer number (518175360).

Almost surely, 211244400104 is an apocalyptic number.

11244400104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11244400104 is an abundant number, since it is smaller than the sum of its proper divisors (21918822936).

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

11244400104 is a wasteful number, since it uses less digits than its factorization.

11244400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159110 (or 2159106 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11244400104 its reverse (40100444211), we get a palindrome (51344844315).

The spelling of 11244400104 in words is "eleven billion, two hundred forty-four million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 2159063 4318126 6477189 8636252 12954378 15113441 17272504 25908756 30226882 45340323 51817512 60453764 66930953 90680646 120907528 133861906 181361292 200792859 267723812 362722584 401585718 468516671 535447624 803171436 937033342 1405550013 1606342872 1874066684 2811100026 3748133368 5622200052 11244400104