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23220003001 = 1313729344497
BaseRepresentation
bin10101101000000001…
…010010000010111001
32012221020112100222011
4111220001102002321
5340023310044001
614400033125521
71451261524516
oct255001220271
965836470864
1023220003001
1199360a4a28
1246003b98a1
13226082b060
1411a3bda30d
1590d7bad51
hex5680520b9

23220003001 has 16 divisors (see below), whose sum is σ = 25275219984. Its totient is φ = 21204301824.

The previous prime is 23220002987. The next prime is 23220003049. The reversal of 23220003001 is 10030002232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 996349225 + 22223653776 = 31565^2 + 149076^2 .

It is a cyclic number.

It is not a de Polignac number, because 23220003001 - 215 = 23219970233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23220007001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499585 + ... + 544081.

It is an arithmetic number, because the mean of its divisors is an integer number (1579701249).

Almost surely, 223220003001 is an apocalyptic number.

It is an amenable number.

23220003001 is a deficient number, since it is larger than the sum of its proper divisors (2055216983).

23220003001 is a wasteful number, since it uses less digits than its factorization.

23220003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44940.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 23220003001 its reverse (10030002232), we get a palindrome (33250005233).

The spelling of 23220003001 in words is "twenty-three billion, two hundred twenty million, three thousand, one".

Divisors: 1 13 137 293 1781 3809 40141 44497 521833 578461 6096089 13037621 79249157 169489073 1786154077 23220003001