Search a number
-
+
11014331022 = 2332924672851
BaseRepresentation
bin10100100001000000…
…10101101010001110
31001102121101222201000
422100200111222032
5140024132043042
65020535201130
7536642161152
oct122040255216
931377358630
1011014331022
114742336a12
1221748161a6
131066ba4646
14766b61062
15446e7074c
hex290815a8e

11014331022 has 64 divisors (see below), whose sum is σ = 25339449600. Its totient is φ = 3542162400.

The previous prime is 11014331021. The next prime is 11014331023. The reversal of 11014331022 is 22013341011.

It is an interprime number because it is at equal distance from previous prime (11014331021) and next prime (11014331023).

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

It is a junction number, because it is equal to n+sod(n) for n = 11014330986 and 11014331004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014331021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3861897 + ... + 3864747.

It is an arithmetic number, because the mean of its divisors is an integer number (395928900).

Almost surely, 211014331022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014331022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669724800).

11014331022 is an abundant number, since it is smaller than the sum of its proper divisors (14325118578).

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

11014331022 is a wasteful number, since it uses less digits than its factorization.

11014331022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11014331022 its reverse (22013341011), we get a palindrome (33027672033).

The spelling of 11014331022 in words is "eleven billion, fourteen million, three hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 2467 2851 4934 5702 7401 8553 14802 17106 22203 25659 44406 51318 66609 71543 76977 82679 133218 143086 153954 165358 214629 248037 429258 496074 643887 744111 1287774 1488222 1931661 2232333 3863322 4464666 7033417 14066834 21100251 42200502 63300753 126601506 189902259 203969093 379804518 407938186 611907279 1223814558 1835721837 3671443674 5507165511 11014331022