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11213132133 = 375912771261
BaseRepresentation
bin10100111000101101…
…01101000101100101
31001221110111010120010
422130112231011211
5140431030212013
65052400200433
7544605023220
oct123426550545
931843433503
1011213132133
114834580155
12220b309119
13109912c038
147853105b7
1545963e7c3
hex29c5ad165

11213132133 has 32 divisors (see below), whose sum is σ = 17513349120. Its totient is φ = 6249216960.

The previous prime is 11213132129. The next prime is 11213132137. The reversal of 11213132133 is 33123131211.

It is a happy number.

11213132133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11213132129) and next prime (11213132137).

It is not a de Polignac number, because 11213132133 - 22 = 11213132129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213132137) 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 31 ways as a sum of consecutive naturals, for example, 121723 + ... + 192983.

It is an arithmetic number, because the mean of its divisors is an integer number (547292160).

Almost surely, 211213132133 is an apocalyptic number.

It is an amenable number.

11213132133 is a deficient number, since it is larger than the sum of its proper divisors (6300216987).

11213132133 is a wasteful number, since it uses less digits than its factorization.

11213132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71457.

The product of its digits is 324, while the sum is 21.

Adding to 11213132133 its reverse (33123131211), we get a palindrome (44336263344).

The spelling of 11213132133 in words is "eleven billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 21 59 127 177 381 413 889 1239 2667 7493 22479 52451 71261 157353 213783 498827 1496481 4204399 9050147 12613197 27150441 29430793 63351029 88292379 190053087 533958673 1601876019 3737710711 11213132133