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111220916004 = 22321123121632
BaseRepresentation
bin110011110010101001…
…0000111111100100100
3101122002011202221021100
41213211102013330210
53310240023303004
6123032202120100
711015105121222
oct1474522077444
9348064687240
10111220916004
1143194342400
121967b7b0030
13a646435703
1455513d9b12
152d5e3b5739
hex19e5487f24

111220916004 has 243 divisors, whose sum is σ = 321284652507. Its totient is φ = 32416005600.

The previous prime is 111220915987. The next prime is 111220916039. The reversal of 111220916004 is 400619022111.

The square root of 111220916004 is 333498.

It is a perfect power (a square), and thus also a powerful number.

111220916004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 682336827 + ... + 682336989.

Almost surely, 2111220916004 is an apocalyptic number.

111220916004 is the 333498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111220916004

111220916004 is an abundant number, since it is smaller than the sum of its proper divisors (210063736503).

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

111220916004 is a wasteful number, since it uses less digits than its factorization.

111220916004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 111220916004 its reverse (400619022111), we get a palindrome (511839938115).

The spelling of 111220916004 in words is "one hundred eleven billion, two hundred twenty million, nine hundred sixteen thousand, four".