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993893103 = 32715776081
BaseRepresentation
bin111011001111011…
…001101011101111
32120021012000000200
4323033121223233
54013414034403
6242342324543
733425644350
oct7317315357
92507160020
10993893103
11470032665
12238a29753
1312abac638
1495ddbd27
155c3c6ca3
hex3b3d9aef

993893103 has 12 divisors (see below), whose sum is σ = 1640712528. Its totient is φ = 567938880.

The previous prime is 993893057. The next prime is 993893107. The reversal of 993893103 is 301398399.

It is not a de Polignac number, because 993893103 - 26 = 993893039 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993893107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7887978 + ... + 7888103.

It is an arithmetic number, because the mean of its divisors is an integer number (136726044).

Almost surely, 2993893103 is an apocalyptic number.

993893103 is a deficient number, since it is larger than the sum of its proper divisors (646819425).

993893103 is a wasteful number, since it uses less digits than its factorization.

993893103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15776094 (or 15776091 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 993893103 is about 31526.0702118104. The cubic root of 993893103 is about 997.9602097514.

It can be divided in two parts, 9938 and 93103, that added together give a square (103041 = 3212).

The spelling of 993893103 in words is "nine hundred ninety-three million, eight hundred ninety-three thousand, one hundred three".

Divisors: 1 3 7 9 21 63 15776081 47328243 110432567 141984729 331297701 993893103