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1100134568 = 23133531181
BaseRepresentation
bin100000110010010…
…1011100010101000
32211200002121220202
41001210223202220
54223113301233
6301055411332
736155663261
oct10144534250
92750077822
101100134568
11514aa7425
12268523b48
13146bca000
14a6175968
15668b0be8
hex4192b8a8

1100134568 has 64 divisors (see below), whose sum is σ = 2278659600. Its totient is φ = 497752320.

The previous prime is 1100134513. The next prime is 1100134571. The reversal of 1100134568 is 8654310011.

It can be written as a sum of positive squares in 8 ways, for example, as 30713764 + 1069420804 = 5542^2 + 32702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1100134568.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930938 + ... + 932118.

Almost surely, 21100134568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100134568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139329800).

1100134568 is an abundant number, since it is smaller than the sum of its proper divisors (1178525032).

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

1100134568 is a wasteful number, since it uses less digits than its factorization.

1100134568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1100134568 is about 33168.2765304440. The cubic root of 1100134568 is about 1032.3222082462.

Adding to 1100134568 its reverse (8654310011), we get a palindrome (9754444579).

The spelling of 1100134568 in words is "one billion, one hundred million, one hundred thirty-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1181 1352 1378 2197 2362 2756 4394 4724 5512 8788 8957 9448 15353 17576 17914 30706 35828 61412 62593 71656 116441 122824 125186 199589 232882 250372 399178 465764 500744 798356 813709 931528 1596712 1627418 2594657 3254836 5189314 6509672 10378628 10578217 20757256 21156434 42312868 84625736 137516821 275033642 550067284 1100134568