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1130330100 = 2235229173751
BaseRepresentation
bin100001101011111…
…0111011111110100
32220202220201101210
41003113313133310
54303331030400
6304054521420
740003435014
oct10327673764
92822821353
101130330100
11530050809
12276666270
1315023cca3
14aa195c44
1569377950
hex435f77f4

1130330100 has 144 divisors (see below), whose sum is σ = 3407281920. Its totient is φ = 288960000.

The previous prime is 1130330059. The next prime is 1130330143. The reversal of 1130330100 is 10330311.

It is a super-2 number, since 2×11303301002 = 2555292269932020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1504725 + ... + 1505475.

It is an arithmetic number, because the mean of its divisors is an integer number (23661680).

Almost surely, 21130330100 is an apocalyptic number.

1130330100 is a gapful number since it is divisible by the number (10) 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 1130330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703640960).

1130330100 is an abundant number, since it is smaller than the sum of its proper divisors (2276951820).

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

1130330100 is a wasteful number, since it uses less digits than its factorization.

1130330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1130330100 is about 33620.3822107959. The cubic root of 1130330100 is about 1041.6818509431.

Adding to 1130330100 its reverse (10330311), we get a palindrome (1140660411).

The spelling of 1130330100 in words is "one billion, one hundred thirty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 173 174 290 300 346 348 435 519 580 692 725 751 865 870 1038 1450 1502 1730 1740 2076 2175 2253 2595 2900 3004 3460 3755 4325 4350 4506 5017 5190 7510 8650 8700 9012 10034 10380 11265 12975 15020 15051 17300 18775 20068 21779 22530 25085 25950 30102 37550 43558 45060 50170 51900 56325 60204 65337 75100 75255 87116 100340 108895 112650 125425 129923 130674 150510 217790 225300 250850 259846 261348 301020 326685 376275 389769 435580 501700 519692 544475 649615 653370 752550 779538 1088950 1299230 1306740 1505100 1559076 1633425 1948845 2177900 2598460 3248075 3266850 3767767 3897690 6496150 6533700 7535534 7795380 9744225 11303301 12992300 15071068 18838835 19488450 22606602 37677670 38976900 45213204 56516505 75355340 94194175 113033010 188388350 226066020 282582525 376776700 565165050 1130330100