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1101705696 = 2532713127331
BaseRepresentation
bin100000110101010…
…1011000111100000
32211210001110002200
41001222223013200
54224014040241
6301153213200
736205225650
oct10152530740
92753043080
101101705696
1151597a883
12268b61200
1314732a180
14a6464360
1566ac14b6
hex41aab1e0

1101705696 has 288 divisors, whose sum is σ = 3898073088. Its totient is φ = 287400960.

The previous prime is 1101705691. The next prime is 1101705697. The reversal of 1101705696 is 6965071011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1101705696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101705691) 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, 3328251 + ... + 3328581.

It is an arithmetic number, because the mean of its divisors is an integer number (13534976).

Almost surely, 21101705696 is an apocalyptic number.

1101705696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101705696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949036544).

1101705696 is an abundant number, since it is smaller than the sum of its proper divisors (2796367392).

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

1101705696 is a wasteful number, since it uses less digits than its factorization.

1101705696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1101705696 is about 33191.9522776230. The cubic root of 1101705696 is about 1032.8134023508.

The spelling of 1101705696 in words is "one billion, one hundred one million, seven hundred five thousand, six hundred ninety-six".