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13122223101220 = 2251038416318421
BaseRepresentation
bin1011111011110100000101…
…1100100101010100100100
31201110110202021211101100011
42332331001130211110210
53204443303103214340
643524133245500004
72523022630666432
oct276750134452444
951413667741304
1013122223101220
1141aa115932752
12157b211b71604
13742560601c9c
143351946ddd52
1517b5148be0ea
hexbef41725524

13122223101220 has 24 divisors (see below), whose sum is σ = 27556938247608. Its totient is φ = 5248837862400.

The previous prime is 13122223101191. The next prime is 13122223101263. The reversal of 13122223101220 is 2210132222131.

13122223101220 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 4 ways, for example, as 308300341504 + 12813922759716 = 555248^2 + 3579654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13122223101191 and 13122223101200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1082391 + ... + 5236030.

It is an arithmetic number, because the mean of its divisors is an integer number (1148205760317).

Almost surely, 213122223101220 is an apocalyptic number.

13122223101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122223101220 is an abundant number, since it is smaller than the sum of its proper divisors (14434715146388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122223101220 is a wasteful number, since it uses less digits than its factorization.

13122223101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422271 (or 6422269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13122223101220 its reverse (2210132222131), we get a palindrome (15332355323351).

The spelling of 13122223101220 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty-three million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 103841 207682 415364 519205 1038410 2076820 6318421 12636842 25273684 31592105 63184210 126368420 656111155061 1312222310122 2624444620244 3280555775305 6561111550610 13122223101220