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13121220222221 = 1131972772127893
BaseRepresentation
bin1011111011110000010110…
…1010111001110100001101
31201110101011101201211222112
42332330011222321310031
53204434224334102341
643523445542353405
72522656032445106
oct276740552716415
951411141654875
1013121220222221
1141a9750822931
12157ab9212b865
137424308c7567
143350db4433ad
1517b4a681eaeb
hexbef05ab9d0d

13121220222221 has 16 divisors (see below), whose sum is σ = 13352568896304. Its totient is φ = 12892369910784.

The previous prime is 13121220222139. The next prime is 13121220222223. The reversal of 13121220222221 is 12222202212131.

It can be written as a sum of positive squares in 8 ways, for example, as 2886889837225 + 10234330384996 = 1699085^2 + 3199114^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121220222221 - 238 = 12846342315277 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 (13121220222223) 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, 5102351 + ... + 7230243.

It is an arithmetic number, because the mean of its divisors is an integer number (834535556019).

Almost surely, 213121220222221 is an apocalyptic number.

It is an amenable number.

13121220222221 is a deficient number, since it is larger than the sum of its proper divisors (231348674083).

13121220222221 is a wasteful number, since it uses less digits than its factorization.

13121220222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128480.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13121220222221 its reverse (12222202212131), we get a palindrome (25343422434352).

The spelling of 13121220222221 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 113 197 277 22261 31301 54569 2127893 6166297 240451909 419194921 589426361 47369026073 66605178793 116116993117 13121220222221