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11020001220018 = 234722909477229
BaseRepresentation
bin1010000001011100101101…
…0000100001010110110010
31110000111112211110221010000
42200113023100201112302
52421022430303020033
635234304011050430
72215111621561200
oct240271320412662
943014484427100
1011020001220018
11356961344160a
12129b900140a16
1361c24913809b
142a1529a98070
151419c75b6a13
hexa05cb4215b2

11020001220018 has 120 divisors (see below), whose sum is σ = 28734404856300. Its totient is φ = 3147482826432.

The previous prime is 11020001220017. The next prime is 11020001220037. The reversal of 11020001220018 is 81002210002011.

It can be written as a sum of positive squares in 2 ways, for example, as 10720208833929 + 299792386089 = 3274173^2 + 547533^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11020001220017) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22853028 + ... + 23330256.

Almost surely, 211020001220018 is an apocalyptic number.

11020001220018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020001220018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367202428150).

11020001220018 is an abundant number, since it is smaller than the sum of its proper divisors (17714403636282).

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

11020001220018 is a wasteful number, since it uses less digits than its factorization.

11020001220018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480166 (or 480150 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11020001220018 its reverse (81002210002011), we get a palindrome (92022211222029).

The spelling of 11020001220018 in words is "eleven trillion, twenty billion, one million, two hundred twenty thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 2909 3969 5818 7938 8727 17454 20363 26181 40726 52362 61089 78543 122178 142541 157086 183267 235629 285082 366534 427623 471258 477229 549801 855246 954458 1099602 1282869 1431687 1649403 2565738 2863374 3298806 3340603 3848607 4295061 6681206 7697214 8590122 10021809 11545821 12885183 20043618 23091642 23384221 25770366 30065427 38655549 46768442 60130854 70152663 77311098 90196281 140305326 180392562 210457989 270588843 420915978 541177686 631373967 1262747934 1388259161 1894121901 2776518322 3788243802 4164777483 8329554966 9717814127 12494332449 19435628254 24988664898 29153442381 37482997347 58306884762 68024698889 74965994694 87460327143 112448992041 136049397778 174920654286 204074096667 224897984082 262380981429 408148193334 524761962858 612222290001 787142944287 1224444580002 1574285888574 1836666870003 3673333740006 5510000610009 11020001220018