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1100134024 = 2311293761191
BaseRepresentation
bin100000110010010…
…1011011010001000
32211200002121011121
41001210223122020
54223113242044
6301055405024
736155661553
oct10144533210
92750077147
101100134024
11514aa6a80
12268523774
13146bc99a2
14a617569a
15668b0984
hex4192b688

1100134024 has 128 divisors (see below), whose sum is σ = 2442700800. Its totient is φ = 459648000.

The previous prime is 1100134003. The next prime is 1100134027. The reversal of 1100134024 is 4204310011.

It is a junction number, because it is equal to n+sod(n) for n = 1100133989 and 1100134007.

It is not an unprimeable number, because it can be changed into a prime (1100134027) 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, 5759769 + ... + 5759959.

It is an arithmetic number, because the mean of its divisors is an integer number (19083600).

Almost surely, 21100134024 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 1100134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221350400).

1100134024 is an abundant number, since it is smaller than the sum of its proper divisors (1342566776).

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

1100134024 is a wasteful number, since it uses less digits than its factorization.

1100134024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1100134024 is about 33168.2683298360. The cubic root of 1100134024 is about 1032.3220380902.

Adding to 1100134024 its reverse (4204310011), we get a palindrome (5304444035).

The spelling of 1100134024 in words is "one billion, one hundred million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 29 37 44 58 61 74 88 116 122 148 191 232 244 296 319 382 407 488 638 671 764 814 1073 1276 1342 1528 1628 1769 2101 2146 2257 2552 2684 3256 3538 4202 4292 4514 5368 5539 7067 7076 8404 8584 9028 11078 11651 11803 14134 14152 16808 18056 19459 22156 23302 23606 24827 28268 38918 44312 46604 47212 49654 56536 60929 65453 77737 77836 93208 94424 99308 121858 128161 130906 155474 155672 198616 204943 243716 256322 261812 310948 337879 409886 431087 487432 512644 523624 621896 675758 719983 819772 862174 1025288 1351516 1439966 1639544 1724348 2254373 2703032 2879932 3448696 3716669 4508746 4741957 5759864 7433338 9017492 9483914 12501523 14866676 18034984 18967828 25003046 29733352 37935656 50006092 100012184 137516753 275033506 550067012 1100134024