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1009293921 = 32112143769
BaseRepresentation
bin111100001010001…
…001101001100001
32121100011102222100
4330022021221201
54031334401141
6244052401013
734003566606
oct7412115141
92540142870
101009293921
114787a1509
12242016169
1313114254c
149808a6ad
155d91a0b6
hex3c289a61

1009293921 has 6 divisors (see below), whose sum is σ = 1457869010. Its totient is φ = 672862608.

The previous prime is 1009293911. The next prime is 1009293947. The reversal of 1009293921 is 1293929001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1008951696 + 342225 = 31764^2 + 585^2 .

It is not a de Polignac number, because 1009293921 - 27 = 1009293793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009293911) 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 5 ways as a sum of consecutive naturals, for example, 56071876 + ... + 56071893.

Almost surely, 21009293921 is an apocalyptic number.

It is an amenable number.

1009293921 is a deficient number, since it is larger than the sum of its proper divisors (448575089).

1009293921 is a wasteful number, since it uses less digits than its factorization.

1009293921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112143775 (or 112143772 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1009293921 is about 31769.3865379865. The cubic root of 1009293921 is about 1003.0884254752.

The spelling of 1009293921 in words is "one billion, nine million, two hundred ninety-three thousand, nine hundred twenty-one".

Divisors: 1 3 9 112143769 336431307 1009293921