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1023210013 = 7220881837
BaseRepresentation
bin111100111111001…
…111001000011101
32122022100110021011
4330333033020131
54043420210023
6245310535221
734233066400
oct7477171035
92568313234
101023210013
11485636911
12246807511
13133ca5717
1499c6dd37
155ec6850d
hex3cfcf21d

1023210013 has 6 divisors (see below), whose sum is σ = 1190264766. Its totient is φ = 877037112.

The previous prime is 1023209939. The next prime is 1023210031. The reversal of 1023210013 is 3100123201.

It can be written as a sum of positive squares in only one way, i.e., 644245924 + 378964089 = 25382^2 + 19467^2 .

It is a de Polignac number, because none of the positive numbers 2k-1023210013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023209975 and 1023210002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023210043) 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 5 ways as a sum of consecutive naturals, for example, 10440870 + ... + 10440967.

It is an arithmetic number, because the mean of its divisors is an integer number (198377461).

Almost surely, 21023210013 is an apocalyptic number.

It is an amenable number.

1023210013 is a deficient number, since it is larger than the sum of its proper divisors (167054753).

1023210013 is an equidigital number, since it uses as much as digits as its factorization.

1023210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20881851 (or 20881844 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1023210013 is about 31987.6540715320. The cubic root of 1023210013 is about 1007.6775749903.

Adding to 1023210013 its reverse (3100123201), we get a palindrome (4123333214).

The spelling of 1023210013 in words is "one billion, twenty-three million, two hundred ten thousand, thirteen".

Divisors: 1 7 49 20881837 146172859 1023210013