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11023002252 = 2232306194507
BaseRepresentation
bin10100100010000010…
…11010101010001100
31001110012201112101200
422101001122222030
5140033342033002
65021445105500
7540105654543
oct122101325214
931405645350
1011023002252
114747219819
1221776b8290
13106891c452
14767d7b15a
15447ad4b1c
hex29105aa8c

11023002252 has 18 divisors (see below), whose sum is σ = 27863700228. Its totient is φ = 3674334072.

The previous prime is 11023002203. The next prime is 11023002253. The reversal of 11023002252 is 25220032011.

11023002252 is a `hidden beast` number, since 110 + 2 + 300 + 2 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

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 (11023002253) 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 5 ways as a sum of consecutive naturals, for example, 153097218 + ... + 153097289.

It is an arithmetic number, because the mean of its divisors is an integer number (1547983346).

Almost surely, 211023002252 is an apocalyptic number.

11023002252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11023002252 is an abundant number, since it is smaller than the sum of its proper divisors (16840697976).

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

11023002252 is a wasteful number, since it uses less digits than its factorization.

11023002252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306194517 (or 306194512 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11023002252 its reverse (25220032011), we get a palindrome (36243034263).

The spelling of 11023002252 in words is "eleven billion, twenty-three million, two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 306194507 612389014 918583521 1224778028 1837167042 2755750563 3674334084 5511501126 11023002252