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12220101210013 = 613131481432161
BaseRepresentation
bin1011000111010011011011…
…0010101010111110011101
31121021020012212100001120121
42301310312302222332131
53100203231402210023
641553500442514541
72400605333305234
oct261646662527635
947236185301517
1012220101210013
113991574612664
121454407205a51
136a8473361b68
143036555adb1b
15162d15e53d5d
hexb1d36caaf9d

12220101210013 has 16 divisors (see below), whose sum is σ = 12468554787312. Its totient is φ = 11973252096000.

The previous prime is 12220101210011. The next prime is 12220101210043. The reversal of 12220101210013 is 31001210102221.

It can be written as a sum of positive squares in 8 ways, for example, as 1710230986564 + 10509870223449 = 1307758^2 + 3241893^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220101210013 - 21 = 12220101210011 is a prime.

It is a super-2 number, since 2×122201012100132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220101210011) 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, 28060653 + ... + 28492813.

It is an arithmetic number, because the mean of its divisors is an integer number (779284674207).

Almost surely, 212220101210013 is an apocalyptic number.

It is an amenable number.

12220101210013 is a deficient number, since it is larger than the sum of its proper divisors (248453577299).

12220101210013 is a wasteful number, since it uses less digits than its factorization.

12220101210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434016.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12220101210013 its reverse (31001210102221), we get a palindrome (43221311312234).

The spelling of 12220101210013 in words is "twelve trillion, two hundred twenty billion, one hundred one million, two hundred ten thousand, thirteen".

Divisors: 1 61 313 1481 19093 90341 432161 463553 26361821 28276733 135266393 640030441 8251249973 39041856901 200329528033 12220101210013