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2221211131131 = 3432400434673
BaseRepresentation
bin100000010100101010100…
…000000001110011111011
321212100100000121122021210
4200110222200001303323
5242343020022144011
64420224343134203
7316322453044356
oct40245240016373
97770300548253
102221211131131
1178701285a823
122ba59b144363
131315c814bcc5
1479715a4329d
153cba36a66a6
hex2052a801cfb

2221211131131 has 12 divisors (see below), whose sum is σ = 3032091351528. Its totient is φ = 1446370035264.

The previous prime is 2221211131103. The next prime is 2221211131189. The reversal of 2221211131131 is 1311311121222.

It is not a de Polignac number, because 2221211131131 - 26 = 2221211131067 is a prime.

It is a super-2 number, since 2×22212111311312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221211131098 and 2221211131107.

It is not an unprimeable number, because it can be changed into a prime (2221211131331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200211790 + ... + 200222883.

It is an arithmetic number, because the mean of its divisors is an integer number (252674279294).

Almost surely, 22221211131131 is an apocalyptic number.

2221211131131 is a deficient number, since it is larger than the sum of its proper divisors (810880220397).

2221211131131 is an equidigital number, since it uses as much as digits as its factorization.

2221211131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400434762 (or 400434719 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

Adding to 2221211131131 its reverse (1311311121222), we get a palindrome (3532522252353).

Subtracting from 2221211131131 its reverse (1311311121222), we obtain a palindrome (909900009909).

The spelling of 2221211131131 in words is "two trillion, two hundred twenty-one billion, two hundred eleven million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 43 129 1849 5547 400434673 1201304019 17218690939 51656072817 740403710377 2221211131131