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1106132244 = 2237103173739
BaseRepresentation
bin100000111101110…
…0011110100010100
32212002101100011220
41001323203310110
54231132212434
6301432130340
736260653230
oct10173436424
92762340156
101106132244
11518423588
1226a5369b0
13148219c29
14a6c975c0
1567197d49
hex41ee3d14

1106132244 has 96 divisors (see below), whose sum is σ = 2999592960. Its totient is φ = 310739328.

The previous prime is 1106132243. The next prime is 1106132249. The reversal of 1106132244 is 4422316011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106132243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1496427 + ... + 1497165.

It is an arithmetic number, because the mean of its divisors is an integer number (31245760).

Almost surely, 21106132244 is an apocalyptic number.

1106132244 is a gapful number since it is divisible by the number (14) 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 1106132244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499796480).

1106132244 is an abundant number, since it is smaller than the sum of its proper divisors (1893460716).

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

1106132244 is a wasteful number, since it uses less digits than its factorization.

1106132244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1106132244 is about 33258.5664754210. The cubic root of 1106132244 is about 1034.1948023419.

Adding to 1106132244 its reverse (4422316011), we get a palindrome (5528448255).

The spelling of 1106132244 in words is "one billion, one hundred six million, one hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 173 206 309 346 412 519 618 692 721 739 1038 1211 1236 1442 1478 2076 2163 2217 2422 2884 2956 3633 4326 4434 4844 5173 7266 8652 8868 10346 14532 15519 17819 20692 31038 35638 53457 62076 71276 76117 106914 124733 127847 152234 213828 228351 249466 255694 304468 374199 383541 456702 498932 511388 532819 748398 767082 894929 913404 1065638 1496796 1534164 1598457 1789858 2131276 2684787 3196914 3579716 5369574 6393828 10739148 13168241 26336482 39504723 52672964 79009446 92177687 158018892 184355374 276533061 368710748 553066122 1106132244