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1103130112 = 2972331321
BaseRepresentation
bin100000111000000…
…0110111000000000
32211212201211000211
41001300012320000
54224400130422
6301243523504
736223310530
oct10160067000
92755654024
101103130112
11516762a87
12269529594
13147708616
14a67154c0
1566ca3577
hex41c06e00

1103130112 has 80 divisors (see below), whose sum is σ = 2531704032. Its totient is φ = 470384640.

The previous prime is 1103130109. The next prime is 1103130113. The reversal of 1103130112 is 2110313011.

It is a super-2 number, since 2×11031301122 = 2433792088002265088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1103130092 and 1103130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103130113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834412 + ... + 835732.

Almost surely, 21103130112 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 1103130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265852016).

1103130112 is an abundant number, since it is smaller than the sum of its proper divisors (1428573920).

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

1103130112 is an equidigital number, since it uses as much as digits as its factorization.

1103130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1103130112 is about 33213.4025959401. The cubic root of 1103130112 is about 1033.2583252757.

Adding to 1103130112 its reverse (2110313011), we get a palindrome (3213443123).

It can be divided in two parts, 110313011 and 2, that multiplied together give a palindrome (220626022).

The spelling of 1103130112 in words is "one billion, one hundred three million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 233 256 448 466 512 896 932 1321 1631 1792 1864 2642 3262 3584 3728 5284 6524 7456 9247 10568 13048 14912 18494 21136 26096 29824 36988 42272 52192 59648 73976 84544 104384 119296 147952 169088 208768 295904 307793 338176 417536 591808 615586 676352 835072 1183616 1231172 2154551 2367232 2462344 4309102 4734464 4924688 8618204 9849376 17236408 19698752 34472816 39397504 68945632 78795008 137891264 157590016 275782528 551565056 1103130112