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20231002013 = 149159785021
BaseRepresentation
bin10010110101110111…
…001001011110011101
31221012221012101102212
4102311313021132131
5312413114031023
613143300330205
71314225452105
oct226567113635
957187171385
1020231002013
118641967282
123b073a3965
131ba54c8011
14d9cc58205
157d619ae78
hex4b5dc979d

20231002013 has 8 divisors (see below), whose sum is σ = 20379773400. Its totient is φ = 20082404160.

The previous prime is 20231001983. The next prime is 20231002021. The reversal of 20231002013 is 31020013202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61889689 + 20169112324 = 7867^2 + 142018^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 20231002013 - 28 = 20231001757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231002093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195443 + ... + 280463.

It is an arithmetic number, because the mean of its divisors is an integer number (2547471675).

Almost surely, 220231002013 is an apocalyptic number.

It is an amenable number.

20231002013 is a deficient number, since it is larger than the sum of its proper divisors (148771387).

20231002013 is a wasteful number, since it uses less digits than its factorization.

20231002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86767.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20231002013 its reverse (31020013202), we get a palindrome (51251015215).

The spelling of 20231002013 in words is "twenty billion, two hundred thirty-one million, two thousand, thirteen".

Divisors: 1 149 1597 85021 237953 12668129 135778537 20231002013