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1231222133313 = 32141539665969
BaseRepresentation
bin10001111010101010100…
…011101101001001000001
311100200222222122211002100
4101322222203231021001
5130133020331231223
62341340551141013
7154644555312534
oct21725243551101
94320888584070
101231222133313
11435181883a57
1217a751974769
138c146c236c3
144383cdc4a1b
1522060c73043
hex11eaa8ed241

1231222133313 has 12 divisors (see below), whose sum is σ = 1778557811940. Its totient is φ = 820756674816.

The previous prime is 1231222133311. The next prime is 1231222133359. The reversal of 1231222133313 is 3133312221321.

1231222133313 is a `hidden beast` number, since 1 + 2 + 312 + 2 + 2 + 1 + 33 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164891220624 + 1066330912689 = 406068^2 + 1032633^2 .

It is not a de Polignac number, because 1231222133313 - 21 = 1231222133311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1231222133311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4705608 + ... + 4960361.

It is an arithmetic number, because the mean of its divisors is an integer number (148213150995).

Almost surely, 21231222133313 is an apocalyptic number.

It is an amenable number.

1231222133313 is a deficient number, since it is larger than the sum of its proper divisors (547335678627).

1231222133313 is a wasteful number, since it uses less digits than its factorization.

1231222133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680128 (or 9680125 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1231222133313 its reverse (3133312221321), we get a palindrome (4364534354634).

The spelling of 1231222133313 in words is "one trillion, two hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 14153 42459 127377 9665969 28997907 86993721 136802459257 410407377771 1231222133313