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1101000030 = 2351319314793
BaseRepresentation
bin100000110011111…
…1110110101011110
32211201201121002220
41001213332311132
54223324000110
6301130130210
736166226424
oct10147766536
92751647086
101101000030
11515538689
12268880966
13147140c10
14a631d114
15669d2370
hex419fed5e

1101000030 has 128 divisors (see below), whose sum is σ = 3092705280. Its totient is φ = 248417280.

The previous prime is 1100999989. The next prime is 1101000059. The reversal of 1101000030 is 300001011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100999982 and 1101000018.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227314 + ... + 232106.

It is an arithmetic number, because the mean of its divisors is an integer number (24161760).

Almost surely, 21101000030 is an apocalyptic number.

1101000030 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 1101000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546352640).

1101000030 is an abundant number, since it is smaller than the sum of its proper divisors (1991705250).

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

1101000030 is a wasteful number, since it uses less digits than its factorization.

1101000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1101000030 is about 33181.3204981357. The cubic root of 1101000030 is about 1032.5928422475.

Adding to 1101000030 its reverse (300001011), we get a palindrome (1401001041).

The spelling of 1101000030 in words is "one billion, one hundred one million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 19 26 30 31 38 39 57 62 65 78 93 95 114 130 155 186 190 195 247 285 310 390 403 465 494 570 589 741 806 930 1178 1209 1235 1482 1767 2015 2418 2470 2945 3534 3705 4030 4793 5890 6045 7410 7657 8835 9586 12090 14379 15314 17670 22971 23965 28758 38285 45942 47930 62309 71895 76570 91067 114855 124618 143790 148583 182134 186927 229710 273201 297166 311545 373854 445749 455335 546402 623090 742915 891498 910670 934635 1183871 1366005 1485830 1869270 1931579 2228745 2367742 2732010 2823077 3551613 3863158 4457490 5646154 5794737 5919355 7103226 8469231 9657895 11589474 11838710 14115385 16938462 17758065 19315790 28230770 28973685 35516130 36700001 42346155 57947370 73400002 84692310 110100003 183500005 220200006 367000010 550500015 1101000030