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211221123133 = 1750970934429
BaseRepresentation
bin1100010010110111000…
…0101001000000111101
3202012012100210210122111
43010231300221000331
511430040101420013
6241011133414021
721155153631466
oct3045560510075
9665170723574
10211221123133
118163a8aa089
1234b2963a311
1316bc1cb84c7
14a31a4b1d6d
15576364173d
hex312dc2903d

211221123133 has 16 divisors (see below), whose sum is σ = 224407854000. Its totient is φ = 198120195072.

The previous prime is 211221123079. The next prime is 211221123163. The reversal of 211221123133 is 331321122112.

It can be written as a sum of positive squares in 8 ways, for example, as 1285796164 + 209935326969 = 35858^2 + 458187^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221123133 - 213 = 211221114941 is a prime.

It is a super-2 number, since 2×2112211231332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221123163) 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 15 ways as a sum of consecutive naturals, for example, 6117763 + ... + 6152191.

It is an arithmetic number, because the mean of its divisors is an integer number (14025490875).

Almost surely, 2211221123133 is an apocalyptic number.

It is an amenable number.

211221123133 is a deficient number, since it is larger than the sum of its proper divisors (13186730867).

211221123133 is a wasteful number, since it uses less digits than its factorization.

211221123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35664.

The product of its digits is 432, while the sum is 22.

Adding to 211221123133 its reverse (331321122112), we get a palindrome (542542245245).

The spelling of 211221123133 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 17 509 709 8653 12053 34429 360881 585293 6134977 17524361 24410161 297914137 414972737 12424771949 211221123133