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11331121211112 = 2338330391187171
BaseRepresentation
bin1010010011100011101101…
…1101000110011011101000
31111010020121022122000221010
42210320323131012123220
52441122114012223422
640033240100143520
72246434514062623
oct244707335063350
944106538560833
1011331121211112
11367955758179a
121330069697ba0
1364269b9b4181
142b26019c2dba
15149b36117b0c
hexa4e3b7466e8

11331121211112 has 64 divisors (see below), whose sum is σ = 28670198376960. Its totient is φ = 3731391172800.

The previous prime is 11331121211099. The next prime is 11331121211171. The reversal of 11331121211112 is 21111212113311.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60445287 + ... + 60632457.

It is an arithmetic number, because the mean of its divisors is an integer number (447971849640).

Almost surely, 211331121211112 is an apocalyptic number.

11331121211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331121211112 is an abundant number, since it is smaller than the sum of its proper divisors (17339077165848).

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

11331121211112 is a wasteful number, since it uses less digits than its factorization.

11331121211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217654 (or 217650 counting only the distinct ones).

The product of its digits is 72, while the sum is 21.

Adding to 11331121211112 its reverse (21111212113311), we get a palindrome (32442333324423).

The spelling of 11331121211112 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 30391 60782 91173 121564 182346 187171 243128 364692 374342 561513 729384 748684 1123026 1497368 2246052 2522453 4492104 5044906 7567359 10089812 15134718 15535193 20179624 30269436 31070386 46605579 60538872 62140772 93211158 124281544 186422316 372844632 5688313861 11376627722 17064941583 22753255444 34129883166 45506510888 68259766332 136519532664 472130050463 944260100926 1416390151389 1888520201852 2832780302778 3777040403704 5665560605556 11331121211112