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1100031030 = 234571910211
BaseRepresentation
bin100000110010001…
…0010010000110110
32211122220100220000
41001210102100312
54223101443110
6301053252130
736155052360
oct10144222066
92748810800
101100031030
11514a3665a
12268494046
13146b91b47
14a6149d30
15668901c0
hex41912436

1100031030 has 160 divisors (see below), whose sum is σ = 3558677760. Its totient is φ = 238178880.

The previous prime is 1100031017. The next prime is 1100031043. The reversal of 1100031030 is 301300011.

It is an interprime number because it is at equal distance from previous prime (1100031017) and next prime (1100031043).

It is a super-3 number, since 3×11000310303 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 79 ways as a sum of consecutive naturals, for example, 102625 + ... + 112835.

It is an arithmetic number, because the mean of its divisors is an integer number (22241736).

Almost surely, 21100031030 is an apocalyptic number.

1100031030 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 1100031030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779338880).

1100031030 is an abundant number, since it is smaller than the sum of its proper divisors (2458646730).

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

1100031030 is a wasteful number, since it uses less digits than its factorization.

1100031030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10247 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1100031030 is about 33166.7156951061. The cubic root of 1100031030 is about 1032.2898219263.

Adding to 1100031030 its reverse (301300011), we get a palindrome (1401331041).

The spelling of 1100031030 in words is "one billion, one hundred million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 513 567 570 630 665 798 810 855 945 1026 1134 1197 1330 1539 1710 1890 1995 2394 2565 2835 3078 3591 3990 5130 5670 5985 7182 7695 10211 10773 11970 15390 17955 20422 21546 30633 35910 51055 53865 61266 71477 91899 102110 107730 142954 153165 183798 194009 214431 275697 306330 357385 388018 428862 459495 551394 582027 643293 714770 827091 918990 970045 1072155 1164054 1286586 1358063 1378485 1654182 1746081 1929879 1940090 2144310 2716126 2756970 2910135 3216465 3492162 3859758 4074189 4135455 5238243 5789637 5820270 6432930 6790315 8148378 8270910 8730405 9649395 10476486 11579274 12222567 13580630 15714729 17460810 19298790 20370945 24445134 26191215 28948185 31429458 36667701 40741890 52382430 57896370 61112835 73335402 78573645 110003103 122225670 157147290 183338505 220006206 366677010 550015515 1100031030