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101023993 = 714431999
BaseRepresentation
bin1100000010110…
…00000011111001
321001002112212101
412001120003321
5201330231433
614005143401
72334455410
oct601300371
9231075771
10101023993
1152030904
12299bab61
1317c11915
14d5ba477
158d0807d
hex60580f9

101023993 has 4 divisors (see below), whose sum is σ = 115456000. Its totient is φ = 86591988.

The previous prime is 101023987. The next prime is 101023999. The reversal of 101023993 is 399320101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 399320101 = 1840121701.

It is an interprime number because it is at equal distance from previous prime (101023987) and next prime (101023999).

It is not a de Polignac number, because 101023993 - 25 = 101023961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101023999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7215993 + ... + 7216006.

It is an arithmetic number, because the mean of its divisors is an integer number (28864000).

Almost surely, 2101023993 is an apocalyptic number.

It is an amenable number.

101023993 is a deficient number, since it is larger than the sum of its proper divisors (14432007).

101023993 is an equidigital number, since it uses as much as digits as its factorization.

101023993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14432006.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 101023993 is about 10051.0692466026. The cubic root of 101023993 is about 465.7378243060.

The spelling of 101023993 in words is "one hundred one million, twenty-three thousand, nine hundred ninety-three".

Divisors: 1 7 14431999 101023993