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11252322153 = 3210271121727
BaseRepresentation
bin10100111101011000…
…01100111101101001
31002001012020012011100
422132230030331221
5141021043302103
65100320152013
7545562105642
oct123654147551
932035205140
1011252322153
1148547081a6
122220468609
1310a42a0cb7
1478a5d26c9
1545ccd15a3
hex29eb0cf69

11252322153 has 12 divisors (see below), whose sum is σ = 16255070208. Its totient is φ = 7500756120.

The previous prime is 11252322119. The next prime is 11252322187. The reversal of 11252322153 is 35122325211.

11252322153 is a `hidden beast` number, since 112 + 523 + 2 + 21 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (11252322119) and next prime (11252322187).

It is not a de Polignac number, because 11252322153 - 26 = 11252322089 is a prime.

It is a super-3 number, since 3×112523221533 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11252322853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31576 + ... + 153302.

It is an arithmetic number, because the mean of its divisors is an integer number (1354589184).

Almost surely, 211252322153 is an apocalyptic number.

It is an amenable number.

11252322153 is a deficient number, since it is larger than the sum of its proper divisors (5002748055).

11252322153 is a wasteful number, since it uses less digits than its factorization.

11252322153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132004 (or 132001 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Adding to 11252322153 its reverse (35122325211), we get a palindrome (46374647364).

The spelling of 11252322153 in words is "eleven billion, two hundred fifty-two million, three hundred twenty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 10271 30813 92439 121727 365181 1095543 1250258017 3750774051 11252322153