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23203312230013 = 1731321913311117
BaseRepresentation
bin1010100011010011100010…
…01011101101111001111101
310001011012210201120011222221
411101221301023231321331
511020130340412330023
6121203242100205341
74613245464513166
oct521516113557175
9101135721504887
1023203312230013
117436518932393
122728b5a399851
13cc40a8407a06
145a30910b676d
152a388871a85d
hex151a712ede7d

23203312230013 has 16 divisors (see below), whose sum is σ = 23359760210736. Its totient is φ = 23047128276480.

The previous prime is 23203312229969. The next prime is 23203312230017. The reversal of 23203312230013 is 31003221330232.

It can be written as a sum of positive squares in 8 ways, for example, as 4048317033849 + 19154995196164 = 2012043^2 + 4376642^2 .

It is a cyclic number.

It is not a de Polignac number, because 23203312230013 - 29 = 23203312229501 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23203312230013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23203312230017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2087186331 + ... + 2087197447.

It is an arithmetic number, because the mean of its divisors is an integer number (1459985013171).

Almost surely, 223203312230013 is an apocalyptic number.

It is an amenable number.

23203312230013 is a deficient number, since it is larger than the sum of its proper divisors (156447980723).

23203312230013 is a wasteful number, since it uses less digits than its factorization.

23203312230013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21744.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 23203312230013 its reverse (31003221330232), we get a palindrome (54206533560245).

The spelling of 23203312230013 in words is "twenty-three trillion, two hundred three billion, three hundred twelve million, two hundred thirty thousand, thirteen".

Divisors: 1 173 1321 9133 11117 228533 1580009 1923241 12064693 14685557 101531561 2087191889 2540601361 17564960053 134123192081 23203312230013