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1130043330 = 2325131098861
BaseRepresentation
bin100001101011011…
…0001011111000010
32220202101011000200
41003112301133002
54303242341310
6304044430030
740001131653
oct10326613702
92822334020
101130043330
1152a975309
12276548316
1315016c5c0
14aa11d52a
156931c9c0
hex435b17c2

1130043330 has 96 divisors (see below), whose sum is σ = 3193510320. Its totient is φ = 275581440.

The previous prime is 1130043301. The next prime is 1130043359. The reversal of 1130043330 is 333400311.

It is an interprime number because it is at equal distance from previous prime (1130043301) and next prime (1130043359).

It can be written as a sum of positive squares in 8 ways, for example, as 758286369 + 371756961 = 27537^2 + 19281^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123100 + ... + 131960.

Almost surely, 21130043330 is an apocalyptic number.

1130043330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130043330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596755160).

1130043330 is an abundant number, since it is smaller than the sum of its proper divisors (2063466990).

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

1130043330 is a wasteful number, since it uses less digits than its factorization.

1130043330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1130043330 is about 33616.1171166451. The cubic root of 1130043330 is about 1041.5937503164.

Adding to 1130043330 its reverse (333400311), we get a palindrome (1463443641).

The spelling of 1130043330 in words is "one billion, one hundred thirty million, forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 327 390 545 585 654 981 1090 1170 1417 1635 1962 2834 3270 4251 4905 7085 8502 8861 9810 12753 14170 17722 21255 25506 26583 42510 44305 53166 63765 79749 88610 115193 127530 132915 159498 230386 265830 345579 398745 575965 691158 797490 965849 1036737 1151930 1727895 1931698 2073474 2897547 3455790 4829245 5183685 5795094 8692641 9658490 10367370 12556037 14487735 17385282 25112074 28975470 37668111 43463205 62780185 75336222 86926410 113004333 125560370 188340555 226008666 376681110 565021665 1130043330