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1023860013 = 311216371723
BaseRepresentation
bin111101000001101…
…101110100101101
32122100120110220020
4331001231310231
54044102010023
6245332512353
734241444421
oct7501556455
92570513806
101023860013
11485a40200
12246a7b6b9
13134172537
1499d9cb81
155ed45de3
hex3d06dd2d

1023860013 has 24 divisors (see below), whose sum is σ = 1502321184. Its totient is φ = 619782240.

The previous prime is 1023859979. The next prime is 1023860053. The reversal of 1023860013 is 3100683201.

It is a de Polignac number, because none of the positive numbers 2k-1023860013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023860053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593370 + ... + 595092.

It is an arithmetic number, because the mean of its divisors is an integer number (62596716).

Almost surely, 21023860013 is an apocalyptic number.

It is an amenable number.

1023860013 is a deficient number, since it is larger than the sum of its proper divisors (478461171).

1023860013 is a wasteful number, since it uses less digits than its factorization.

1023860013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1023860013 is about 31997.8126283657. The cubic root of 1023860013 is about 1007.8909074665.

The spelling of 1023860013 in words is "one billion, twenty-three million, eight hundred sixty thousand, thirteen".

Divisors: 1 3 11 33 121 363 1637 1723 4911 5169 18007 18953 54021 56859 198077 208483 594231 625449 2820551 8461653 31026061 93078183 341286671 1023860013