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1023120001 = 31283101127
BaseRepresentation
bin111100111110111…
…001001010000001
32122022011212210101
4330332321022001
54043404320001
6245305002401
734232243101
oct7476711201
92568155711
101023120001
11485585222
12246783401
13133c73767
1499c49201
155ec4ba01
hex3cfb9281

1023120001 has 24 divisors (see below), whose sum is σ = 1089027072. Its totient is φ = 960876000.

The previous prime is 1023119987. The next prime is 1023120019. The reversal of 1023120001 is 1000213201.

It is a de Polignac number, because none of the positive numbers 2k-1023120001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023120001.

It is not an unprimeable number, because it can be changed into a prime (1023120701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8056000 + ... + 8056126.

It is an arithmetic number, because the mean of its divisors is an integer number (45376128).

Almost surely, 21023120001 is an apocalyptic number.

It is an amenable number.

1023120001 is a deficient number, since it is larger than the sum of its proper divisors (65907071).

1023120001 is a wasteful number, since it uses less digits than its factorization.

1023120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1023120001 is about 31986.2470602601. The cubic root of 1023120001 is about 1007.6480255878.

Adding to 1023120001 its reverse (1000213201), we get a palindrome (2023333202).

The spelling of 1023120001 in words is "one billion, twenty-three million, one hundred twenty thousand, one".

Divisors: 1 31 83 101 127 961 2573 3131 3937 8383 10541 12827 79763 97061 122047 259873 326771 397637 1064641 8056063 10129901 12326747 33003871 1023120001