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11032400421 = 337283100469
BaseRepresentation
bin10100100011001010…
…10001001000100101
31001110212102000021000
422101211101020211
5140043243303141
65022422343513
7540251566500
oct122145211045
931425360230
1011032400421
1147515587a9
12217a88ab99
13106a8600b3
14769306137
1544883e5b6
hex291951225

11032400421 has 48 divisors (see below), whose sum is σ = 19242014400. Its totient is φ = 6228212256.

The previous prime is 11032400419. The next prime is 11032400437. The reversal of 11032400421 is 12400423011.

11032400421 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 240 + 0 + 421 = 666.

It is not a de Polignac number, because 11032400421 - 21 = 11032400419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11032400394 and 11032400403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032400021) 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 47 ways as a sum of consecutive naturals, for example, 59575 + ... + 160043.

It is an arithmetic number, because the mean of its divisors is an integer number (400875300).

Almost surely, 211032400421 is an apocalyptic number.

It is an amenable number.

11032400421 is a deficient number, since it is larger than the sum of its proper divisors (8209613979).

11032400421 is a wasteful number, since it uses less digits than its factorization.

11032400421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100575 (or 100562 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11032400421 its reverse (12400423011), we get a palindrome (23432823432).

The spelling of 11032400421 in words is "eleven billion, thirty-two million, four hundred thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 83 147 189 249 441 581 747 1323 1743 2241 4067 5229 12201 15687 36603 100469 109809 301407 703283 904221 2109849 2712663 4922981 6329547 8338927 14768943 18988641 25016781 44306829 58372489 75050343 132920487 175117467 225151029 408607423 525352401 1225822269 1576057203 3677466807 11032400421