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10201123013 is a prime number
BaseRepresentation
bin10011000000000100…
…01100100011000101
3222022221012202000212
421200002030203011
5131342441414023
64404125245205
7510536054264
oct114002144305
928287182025
1010201123013
1143652a4784
121b88403805
13c67578983
146cab585db
153ea889e78
hex26008c8c5

10201123013 has 2 divisors, whose sum is σ = 10201123014. Its totient is φ = 10201123012.

The previous prime is 10201122979. The next prime is 10201123021. The reversal of 10201123013 is 31032110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10123981924 + 77141089 = 100618^2 + 8783^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201123013 - 26 = 10201122949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201123063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100561506 + 5100561507.

It is an arithmetic number, because the mean of its divisors is an integer number (5100561507).

Almost surely, 210201123013 is an apocalyptic number.

It is an amenable number.

10201123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201123013 is an equidigital number, since it uses as much as digits as its factorization.

10201123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10201123013 its reverse (31032110201), we get a palindrome (41233233214).

The spelling of 10201123013 in words is "ten billion, two hundred one million, one hundred twenty-three thousand, thirteen".