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1023309993 = 31273138581
BaseRepresentation
bin111100111111100…
…111100010101001
32122022112112102010
4330333213202221
54043431404433
6245313030133
734233664026
oct7477474251
92568475363
101023309993
114856a4a42
12246855349
1313400c094
1499c9854d
155ec87e63
hex3cfe78a9

1023309993 has 16 divisors (see below), whose sum is σ = 1379710976. Its totient is φ = 674593920.

The previous prime is 1023309977. The next prime is 1023310003. The reversal of 1023309993 is 3999033201.

It is not a de Polignac number, because 1023309993 - 24 = 1023309977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023309913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114963 + ... + 123543.

It is an arithmetic number, because the mean of its divisors is an integer number (86231936).

Almost surely, 21023309993 is an apocalyptic number.

It is an amenable number.

1023309993 is a deficient number, since it is larger than the sum of its proper divisors (356400983).

1023309993 is a wasteful number, since it uses less digits than its factorization.

1023309993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024.

The product of its (nonzero) digits is 39366, while the sum is 39.

The square root of 1023309993 is about 31989.2168237986. The cubic root of 1023309993 is about 1007.7103946857.

The spelling of 1023309993 in words is "one billion, twenty-three million, three hundred nine thousand, nine hundred ninety-three".

Divisors: 1 3 127 313 381 939 8581 25743 39751 119253 1089787 2685853 3269361 8057559 341103331 1023309993