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1130103312 = 243135334171
BaseRepresentation
bin100001101011100…
…0000001000010000
32220202111012022020
41003113000020100
54303301301222
6304050011440
740001501562
oct10327001020
92822435266
101130103312
1152aa06388
12276576b80
131501909b0
14aa137332
156933065c
hex435c0210

1130103312 has 80 divisors (see below), whose sum is σ = 3203419968. Its totient is φ = 341153280.

The previous prime is 1130103307. The next prime is 1130103313. The reversal of 1130103312 is 2133010311.

It is a junction number, because it is equal to n+sod(n) for n = 1130103291 and 1130103300.

It is not an unprimeable number, because it can be changed into a prime (1130103313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15987 + ... + 50157.

Almost surely, 21130103312 is an apocalyptic number.

1130103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601709984).

1130103312 is an abundant number, since it is smaller than the sum of its proper divisors (2073316656).

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

1130103312 is a wasteful number, since it uses less digits than its factorization.

1130103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34248 (or 34242 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1130103312 is about 33617.0092661438. The cubic root of 1130103312 is about 1041.6121790407.

Adding to 1130103312 its reverse (2133010311), we get a palindrome (3263113623).

The spelling of 1130103312 in words is "one billion, one hundred thirty million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 4134 5512 8268 11024 16536 33072 34171 68342 102513 136684 205026 273368 410052 444223 546736 820104 888446 1332669 1640208 1776892 1811063 2665338 3553784 3622126 5330676 5433189 7107568 7244252 10661352 10866378 14488504 21322704 21732756 23543819 28977008 43465512 47087638 70631457 86931024 94175276 141262914 188350552 282525828 376701104 565051656 1130103312