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13222210013 = 7910312491301
BaseRepresentation
bin11000101000001101…
…01110100111011101
31021010110220212021222
430110012232213131
5204034341210023
610024005503125
7645441634145
oct142406564735
937113825258
1013222210013
1156756580a1
122690111aa5
13132943430c
148d608d925
15525be6cc8
hex3141ae9dd

13222210013 has 16 divisors (see below), whose sum is σ = 13540800000. Its totient is φ = 12907814400.

The previous prime is 13222210009. The next prime is 13222210049. The reversal of 13222210013 is 31001222231.

It is a cyclic number.

It is not a de Polignac number, because 13222210013 - 22 = 13222210009 is a prime.

It is a super-3 number, since 3×132222100133 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13222209973 and 13222210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222210063) 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, 10162463 + ... + 10163763.

It is an arithmetic number, because the mean of its divisors is an integer number (846300000).

Almost surely, 213222210013 is an apocalyptic number.

It is an amenable number.

13222210013 is a deficient number, since it is larger than the sum of its proper divisors (318589987).

13222210013 is a wasteful number, since it uses less digits than its factorization.

13222210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13222210013 its reverse (31001222231), we get a palindrome (44223432244).

The spelling of 13222210013 in words is "thirteen billion, two hundred twenty-two million, two hundred ten thousand, thirteen".

Divisors: 1 79 103 1249 1301 8137 98671 102779 128647 134003 1624949 10163113 10586237 128370971 167369747 13222210013