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11032131033 = 3271123692147
BaseRepresentation
bin10100100011001000…
…01111010111011001
31001110211220022201200
422101210033113121
5140043211143113
65022412504413
7540246365220
oct122144172731
931424808650
1011032131033
114751394370
12217a77b109
13106a7975b1
14769275cb7
154487d9873
hex29190f5d9

11032131033 has 48 divisors (see below), whose sum is σ = 20731216896. Its totient is φ = 5481796320.

The previous prime is 11032131001. The next prime is 11032131037. The reversal of 11032131033 is 33013123011.

It is a happy number.

11032131033 is a `hidden beast` number, since 1 + 1 + 0 + 321 + 310 + 33 = 666.

11032131033 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 11032131033 - 25 = 11032131001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11032130997 and 11032131015.

It is not an unprimeable number, because it can be changed into a prime (11032131037) 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, 330135 + ... + 362012.

It is an arithmetic number, because the mean of its divisors is an integer number (431900352).

Almost surely, 211032131033 is an apocalyptic number.

It is an amenable number.

11032131033 is a deficient number, since it is larger than the sum of its proper divisors (9699085863).

11032131033 is a wasteful number, since it uses less digits than its factorization.

11032131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692194 (or 692191 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11032131033 its reverse (33013123011), we get a palindrome (44045254044).

The spelling of 11032131033 in words is "eleven billion, thirty-two million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2277 5313 15939 692147 2076441 4845029 6229323 7613617 14535087 15919381 22840851 43605261 47758143 53295319 68522553 111435667 143274429 159885957 175113191 334307001 479657871 525339573 1002921003 1225792337 1576018719 3677377011 11032131033