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1121134030040 = 235411566143651
BaseRepresentation
bin10000010100001000110…
…010111010110011011000
310222011211202110201202002
4100110020302322303120
5121332040302430130
62215013013100132
7143666514006323
oct20241062726330
93864752421662
101121134030040
113a2519a28622
12161349627648
13819513b9cab
143c3982297ba
151e26b075b45
hex10508cbacd8

1121134030040 has 64 divisors (see below), whose sum is σ = 2584301418720. Its totient is φ = 437477760000.

The previous prime is 1121134030039. The next prime is 1121134030043. The reversal of 1121134030040 is 400304311211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1121134029994 and 1121134030021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121134030043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25662215 + ... + 25705865.

Almost surely, 21121134030040 is an apocalyptic number.

1121134030040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121134030040 is an abundant number, since it is smaller than the sum of its proper divisors (1463167388680).

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

1121134030040 is a wasteful number, since it uses less digits than its factorization.

1121134030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59364 (or 59360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1121134030040 its reverse (400304311211), we get a palindrome (1521438341251).

The spelling of 1121134030040 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-four million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 15661 31322 43651 62644 78305 87302 125288 156610 174604 218255 313220 349208 436510 626440 642101 873020 1284202 1746040 1789691 2568404 3210505 3579382 5136808 6421010 7158764 8948455 12842020 14317528 17896910 25684040 35793820 71587640 683618311 1367236622 2734473244 3418091555 5468946488 6836183110 13672366220 27344732440 28028350751 56056701502 112113403004 140141753755 224226806008 280283507510 560567015020 1121134030040