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11012022 = 2327175397
BaseRepresentation
bin101010000000…
…011110110110
3202201110122200
4222000132312
510304341042
61032005330
7162413010
oct52003666
922643580
1011012022
11624154a
123830846
1323873b8
1416691b0
15e77c4c
hexa807b6

11012022 has 96 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 2875392.

The previous prime is 11012017. The next prime is 11012033. The reversal of 11012022 is 22021011.

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 = 11011995 and 11012013.

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 47 ways as a sum of consecutive naturals, for example, 113478 + ... + 113574.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 211012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

11012022 is an abundant number, since it is smaller than the sum of its proper divisors (18707850).

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

11012022 is a wasteful number, since it uses less digits than its factorization.

11012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11012022 is about 3318.4366801251. The cubic root of 11012022 is about 222.4789998275.

Adding to 11012022 its reverse (22021011), we get a palindrome (33033033).

It can be divided in two parts, 1101 and 2022, that multiplied together give a palindrome (2226222).

The spelling of 11012022 in words is "eleven million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 53 63 97 102 106 119 126 153 159 194 238 291 306 318 357 371 477 582 679 714 742 873 901 954 1071 1113 1358 1649 1746 1802 2037 2142 2226 2703 3298 3339 4074 4947 5141 5406 6111 6307 6678 8109 9894 10282 11543 12222 12614 14841 15423 16218 18921 23086 29682 30846 34629 35987 37842 46269 56763 69258 71974 87397 92538 103887 107961 113526 174794 207774 215922 262191 323883 524382 611779 647766 786573 1223558 1573146 1835337 3670674 5506011 11012022