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11229133825 = 5271316013083
BaseRepresentation
bin10100111010100111…
…01111110000000001
31001222120121002202101
422131103233300001
5140444124240300
65054131150401
7545161030330
oct123523576001
931876532671
1011229133825
11484260a498
122214745401
13109c5425b0
147874b7d17
1545ac50b6a
hex29d4efc01

11229133825 has 48 divisors (see below), whose sum is σ = 17153652096. Its totient is φ = 7100928000.

The previous prime is 11229133787. The next prime is 11229133829. The reversal of 11229133825 is 52833192211.

It is a happy number.

11229133825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11229133825 - 215 = 11229101057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11229133829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3640734 + ... + 3643816.

It is an arithmetic number, because the mean of its divisors is an integer number (357367752).

Almost surely, 211229133825 is an apocalyptic number.

It is an amenable number.

11229133825 is a deficient number, since it is larger than the sum of its proper divisors (5924518271).

11229133825 is a wasteful number, since it uses less digits than its factorization.

11229133825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4709 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The spelling of 11229133825 in words is "eleven billion, two hundred twenty-nine million, one hundred thirty-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 175 325 455 1601 2275 3083 8005 11207 15415 20813 21581 40025 40079 56035 77075 104065 107905 145691 200395 280175 280553 520325 539525 728455 1001975 1402765 3642275 4935883 7013825 24679415 34551181 64166479 123397075 172755905 320832395 449165353 863779525 1604161975 2245826765 11229133825