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112010331323232 = 2532514277562657
BaseRepresentation
bin11001011101111101110000…
…000000100111101101100000
3112200121002020120121020020100
4121131331300000213231200
5104140134124304320412
61034120500312542400
732410323300025536
oct3135756000475540
9480532216536210
10112010331323232
1132765350a24041
12106904293b1a00
134a666b506a134
141d9348695c156
15ce39a46e7edc
hex65df70027b60

112010331323232 has 72 divisors (see below), whose sum is σ = 318535615636056. Its totient is φ = 37336046155776.

The previous prime is 112010331323173. The next prime is 112010331323239. The reversal of 112010331323232 is 232323133010211.

112010331323232 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 0 + 331 + 3 + 2 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 112010331323196 and 112010331323205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010331323239) 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 11 ways as a sum of consecutive naturals, for example, 11029648 + ... + 18592304.

It is an arithmetic number, because the mean of its divisors is an integer number (4424105772723).

Almost surely, 2112010331323232 is an apocalyptic number.

112010331323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112010331323232 is an abundant number, since it is smaller than the sum of its proper divisors (206525284312824).

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

112010331323232 is a wasteful number, since it uses less digits than its factorization.

112010331323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614100 (or 7614089 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 112010331323232 its reverse (232323133010211), we get a palindrome (344333464333443).

The spelling of 112010331323232 in words is "one hundred twelve trillion, ten billion, three hundred thirty-one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 51427 102854 154281 205708 308562 411416 462843 617124 822832 925686 1234248 1645664 1851372 2468496 3702744 4936992 7405488 7562657 14810976 15125314 22687971 30250628 45375942 60501256 68063913 90751884 121002512 136127826 181503768 242005024 272255652 363007536 544511304 726015072 1089022608 2178045216 388924761539 777849523078 1166774284617 1555699046156 2333548569234 3111398092312 3500322853851 4667097138468 6222796184624 7000645707702 9334194276936 12445592369248 14001291415404 18668388553872 28002582830808 37336777107744 56005165661616 112010331323232