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1100030022 = 2327135211289
BaseRepresentation
bin100000110010001…
…0010000001000110
32211122220022111200
41001210102001012
54223101430042
6301053243330
736155046420
oct10144220106
92748808450
101100030022
11514a35923
12268493546
13146b91550
14a6149810
156688ec4c
hex41912046

1100030022 has 96 divisors (see below), whose sum is σ = 2941323840. Its totient is φ = 289336320.

The previous prime is 1100030021. The next prime is 1100030083. The reversal of 1100030022 is 2200300011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100029986 and 1100030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100030021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852754 + ... + 854042.

It is an arithmetic number, because the mean of its divisors is an integer number (30638790).

Almost surely, 21100030022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100030022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470661920).

1100030022 is an abundant number, since it is smaller than the sum of its proper divisors (1841293818).

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

1100030022 is a wasteful number, since it uses less digits than its factorization.

1100030022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1100030022 is about 33166.7004991452. The cubic root of 1100030022 is about 1032.2895066175.

Adding to 1100030022 its reverse (2200300011), we get a palindrome (3300330033).

The spelling of 1100030022 in words is "one billion, one hundred million, thirty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 521 546 819 1042 1289 1563 1638 2578 3126 3647 3867 4689 6773 7294 7734 9023 9378 10941 11601 13546 16757 18046 20319 21882 23202 27069 32823 33514 40638 47411 50271 54138 60957 65646 81207 94822 100542 117299 121914 142233 150813 162414 234598 284466 301626 351897 426699 671569 703794 853398 1055691 1343138 2014707 2111382 4029414 4700983 6044121 8730397 9401966 12088242 14102949 17460794 26191191 28205898 42308847 52382382 61112779 78573573 84617694 122225558 157147146 183338337 366676674 550015011 1100030022