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11331121222332 = 2232536197356439
BaseRepresentation
bin1010010011100011101101…
…1101001001001010111100
31111010020121022122121022200
42210320323131021022330
52441122114013103312
640033240100311500
72246434514140422
oct244707335111274
944106538577280
1011331121222332
11367955758a16a
1213300696a2590
1364269b9b9302
142b26019c7112
15149b3611b0dc
hexa4e3b7492bc

11331121222332 has 72 divisors (see below), whose sum is σ = 29661391861920. Its totient is φ = 3645025038720.

The previous prime is 11331121222331. The next prime is 11331121222417. The reversal of 11331121222332 is 23322212113311.

11331121222332 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 2 + 12 + 2 + 2 + 332 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11331121222296 and 11331121222305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331121222331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48561832 + ... + 48794607.

It is an arithmetic number, because the mean of its divisors is an integer number (411963775860).

Almost surely, 211331121222332 is an apocalyptic number.

11331121222332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331121222332 is an abundant number, since it is smaller than the sum of its proper divisors (18330270639588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331121222332 is a wasteful number, since it uses less digits than its factorization.

11331121222332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97356563 (or 97356558 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 11331121222332 its reverse (23322212113311), we get a palindrome (34653333335643).

The spelling of 11331121222332 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 61 106 122 159 183 212 244 318 366 477 549 636 732 954 1098 1908 2196 3233 6466 9699 12932 19398 29097 38796 58194 116388 97356439 194712878 292069317 389425756 584138634 876207951 1168277268 1752415902 3504831804 5159891267 5938742779 10319782534 11877485558 15479673801 17816228337 20639565068 23754971116 30959347602 35632456674 46439021403 53448685011 61918695204 71264913348 92878042806 106897370022 185756085612 213794740044 314753367287 629506734574 944260101861 1259013469148 1888520203722 2832780305583 3777040407444 5665560611166 11331121222332