[go: up one dir, main page]

Search a number
-
+
1101126016 = 2779108893
BaseRepresentation
bin100000110100001…
…1101100110000000
32211201221222221001
41001220131212000
54223342013031
6301132541344
736200262634
oct10150354600
92751858831
101101126016
11515614301
12268921854
13147186373
14a6352dc4
1566a09861
hex41a1d980

1101126016 has 32 divisors (see below), whose sum is σ = 2221437600. Its totient is φ = 543588864.

The previous prime is 1101126001. The next prime is 1101126043. The reversal of 1101126016 is 6106211011.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×11011260162 = 2424957006224064512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101125984 and 1101126002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44335 + ... + 64558.

It is an arithmetic number, because the mean of its divisors is an integer number (69419925).

Almost surely, 21101126016 is an apocalyptic number.

1101126016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1101126016 is an abundant number, since it is smaller than the sum of its proper divisors (1120311584).

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

1101126016 is an equidigital number, since it uses as much as digits as its factorization.

1101126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108986 (or 108974 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 1101126016 is about 33183.2188914819. The cubic root of 1101126016 is about 1032.6322268302.

Adding to 1101126016 its reverse (6106211011), we get a palindrome (7207337027).

The spelling of 1101126016 in words is "one billion, one hundred one million, one hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 108893 217786 435572 871144 1742288 3484576 6969152 8602547 13938304 17205094 34410188 68820376 137640752 275281504 550563008 1101126016