Search a number
-
+
11181105414 = 23223101267401
BaseRepresentation
bin10100110100111001…
…00010000100000110
31001212020020000011100
422122130202010012
5140344330333124
65045253520530
7544035553653
oct123234420406
931766200140
1011181105414
114818495a96
122200643146
1310925c770b
14780d74c2a
154569151c9
hex29a722106

11181105414 has 48 divisors (see below), whose sum is σ = 25529403744. Its totient is φ = 3529680000.

The previous prime is 11181105413. The next prime is 11181105421. The reversal of 11181105414 is 41450118111.

11181105414 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 110 + 541 + 4 = 666.

It is a super-2 number, since 2×111811054142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11181105413) 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 23 ways as a sum of consecutive naturals, for example, 91887 + ... + 175514.

It is an arithmetic number, because the mean of its divisors is an integer number (531862578).

Almost surely, 211181105414 is an apocalyptic number.

11181105414 is an abundant number, since it is smaller than the sum of its proper divisors (14348298330).

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

11181105414 is a wasteful number, since it uses less digits than its factorization.

11181105414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267533 (or 267530 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The spelling of 11181105414 in words is "eleven billion, one hundred eighty-one million, one hundred five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 909 1818 2323 4646 6969 13938 20907 41814 267401 534802 802203 1604406 2406609 4813218 6150223 12300446 18450669 27007501 36901338 54015002 55352007 81022503 110704014 162045006 243067509 486135018 621172523 1242345046 1863517569 3727035138 5590552707 11181105414