Search a number
-
+
11252264661 = 3311101375113
BaseRepresentation
bin10100111101010111…
…11110111011010101
31002001012010021022000
422132223332323111
5141021034432121
65100315025513
7545561446221
oct123653767325
932035107260
1011252264661
114854678a90
12222043b299
1310a4280a91
1478a5b9781
1545ccbe526
hex29eafeed5

11252264661 has 32 divisors (see below), whose sum is σ = 18365581440. Its totient is φ = 6752016000.

The previous prime is 11252264641. The next prime is 11252264663. The reversal of 11252264661 is 16646225211.

11252264661 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 2 + 2 + 646 + 6 + 1 = 666.

It is not a de Polignac number, because 11252264661 - 219 = 11251740373 is a prime.

It is a super-2 number, since 2×112522646612 (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 (11252264663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157560 + ... + 217553.

It is an arithmetic number, because the mean of its divisors is an integer number (573924420).

Almost surely, 211252264661 is an apocalyptic number.

11252264661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11252264661 is a deficient number, since it is larger than the sum of its proper divisors (7113316779).

11252264661 is a wasteful number, since it uses less digits than its factorization.

11252264661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375234 (or 375228 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 11252264661 its reverse (16646225211), we get a palindrome (27898489872).

The spelling of 11252264661 in words is "eleven billion, two hundred fifty-two million, two hundred sixty-four thousand, six hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 101 297 303 909 1111 2727 3333 9999 29997 375113 1125339 3376017 4126243 10128051 12378729 37136187 37886413 111408561 113659239 340977717 416750543 1022933151 1250251629 3750754887 11252264661