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223431534013 = 536180098629
BaseRepresentation
bin1101000000010110001…
…1101010010110111101
3210100201022211221110111
43100011203222112331
512130041433042023
6250350521110021
722066561463152
oct3200543522675
9710638757414
10223431534013
1186836304546
1237376928311
13180b9910bbc
14ab58022229
155c2a5c600d
hex34058ea5bd

223431534013 has 16 divisors (see below), whose sum is σ = 231434852400. Its totient is φ = 215570234880.

The previous prime is 223431533971. The next prime is 223431534023. The reversal of 223431534013 is 310435134322.

It is a happy number.

223431534013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 192293689 + 223239240324 = 13867^2 + 472482^2 .

It is a cyclic number.

It is not a de Polignac number, because 223431534013 - 221 = 223429436861 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 (223431534023) 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 15 ways as a sum of consecutive naturals, for example, 25888783 + ... + 25897411.

It is an arithmetic number, because the mean of its divisors is an integer number (14464678275).

Almost surely, 2223431534013 is an apocalyptic number.

It is an amenable number.

223431534013 is a deficient number, since it is larger than the sum of its proper divisors (8003318387).

223431534013 is an equidigital number, since it uses as much as digits as its factorization.

223431534013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752.

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 223431534013 its reverse (310435134322), we get a palindrome (533866668335).

The spelling of 223431534013 in words is "two hundred twenty-three billion, four hundred thirty-one million, five hundred thirty-four thousand, thirteen".

Divisors: 1 53 61 3233 8009 8629 424477 457337 488549 526369 25893097 27897557 69109661 3662812033 4215689321 223431534013