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993122145 = 32522069381
BaseRepresentation
bin111011001100011…
…101011101100001
32120012201211110200
4323030131131201
54013214402040
6242314015413
733416253561
oct7314353541
92505654420
10993122145
1146a656404
12238717569
1312a99c752
1495c7ada1
155c2c3630
hex3b31d761

993122145 has 12 divisors (see below), whose sum is σ = 1721411796. Its totient is φ = 529665120.

The previous prime is 993122087. The next prime is 993122159. The reversal of 993122145 is 541221399.

It can be written as a sum of positive squares in 2 ways, for example, as 579894561 + 413227584 = 24081^2 + 20328^2 .

It is not a de Polignac number, because 993122145 - 217 = 992991073 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11034646 + ... + 11034735.

It is an arithmetic number, because the mean of its divisors is an integer number (143450983).

Almost surely, 2993122145 is an apocalyptic number.

It is an amenable number.

993122145 is a deficient number, since it is larger than the sum of its proper divisors (728289651).

993122145 is a wasteful number, since it uses less digits than its factorization.

993122145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22069392 (or 22069389 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 993122145 is about 31513.8405307890. The cubic root of 993122145 is about 997.7021053916.

The spelling of 993122145 in words is "nine hundred ninety-three million, one hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 22069381 66208143 110346905 198624429 331040715 993122145