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13022103112213 = 135335117538201
BaseRepresentation
bin1011110101111111000111…
…0101001000101000010101
31201002220022202101222010011
42331133301311020220111
53201323231344042323
643410134355000221
72512546566063646
oct275376165105025
951086282358104
1013022103112213
1141707087a3088
12156392bb99071
13735c95ca0640
143303b77676cd
15178b04d8220d
hexbd7f1d48a15

13022103112213 has 16 divisors (see below), whose sum is σ = 14288836844016. Its totient is φ = 11793245068800.

The previous prime is 13022103112141. The next prime is 13022103112241. The reversal of 13022103112213 is 31221130122031.

It can be written as a sum of positive squares in 8 ways, for example, as 2655879717969 + 10366223394244 = 1629687^2 + 3219662^2 .

It is not a de Polignac number, because 13022103112213 - 221 = 13022101015061 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 (13022103112253) 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, 23926513 + ... + 24464713.

It is an arithmetic number, because the mean of its divisors is an integer number (893052302751).

Almost surely, 213022103112213 is an apocalyptic number.

13022103112213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13022103112213 is a deficient number, since it is larger than the sum of its proper divisors (1266733731803).

13022103112213 is a wasteful number, since it uses less digits than its factorization.

13022103112213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573384.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13022103112213 its reverse (31221130122031), we get a palindrome (44243233234244).

The spelling of 13022103112213 in words is "thirteen trillion, twenty-two billion, one hundred three million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 13 53 689 35117 456521 538201 1861201 6996613 24195613 28524653 370820489 18900004517 245700058721 1001700239401 13022103112213