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1023032013 = 3689949429
BaseRepresentation
bin111100111110100…
…011101011001101
32122022000102002120
4330332203223031
54043344011023
6245303043153
734231425423
oct7476435315
92568012076
101023032013
11485525103
122467404b9
13133c426b3
1499c25113
155ec308e3
hex3cfa3acd

1023032013 has 8 divisors (see below), whose sum is σ = 1364268000. Its totient is φ = 681908688.

The previous prime is 1023032009. The next prime is 1023032027. The reversal of 1023032013 is 3102303201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1023032013 - 22 = 1023032009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023031983 and 1023032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023031013) 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 7 ways as a sum of consecutive naturals, for example, 4018 + ... + 45411.

It is an arithmetic number, because the mean of its divisors is an integer number (170533500).

Almost surely, 21023032013 is an apocalyptic number.

It is an amenable number.

1023032013 is a deficient number, since it is larger than the sum of its proper divisors (341235987).

1023032013 is an equidigital number, since it uses as much as digits as its factorization.

1023032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56331.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1023032013 is about 31984.8716270677. The cubic root of 1023032013 is about 1007.6191389547.

Adding to 1023032013 its reverse (3102303201), we get a palindrome (4125335214).

It can be divided in two parts, 102303201 and 3, that multiplied together give a palindrome (306909603).

The spelling of 1023032013 in words is "one billion, twenty-three million, thirty-two thousand, thirteen".

Divisors: 1 3 6899 20697 49429 148287 341010671 1023032013