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212100121331 = 7412413066493
BaseRepresentation
bin1100010110001000100…
…1110000001011110011
3202021110121210112111022
43011202021300023303
511433340112340311
6241234253410055
721216016166450
oct3054211601363
9667417715438
10212100121331
1181a50a9747a
1235133a9992b
131700213a797
14a3a1122827
1557b58c05db
hex31622702f3

212100121331 has 16 divisors (see below), whose sum is σ = 249342760128. Its totient is φ = 176629939200.

The previous prime is 212100121319. The next prime is 212100121379. The reversal of 212100121331 is 133121001212.

It is a cyclic number.

It is not a de Polignac number, because 212100121331 - 218 = 212099859187 is a prime.

It is a super-2 number, since 2×2121001213312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212100121531) 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, 1464080 + ... + 1602413.

It is an arithmetic number, because the mean of its divisors is an integer number (15583922508).

Almost surely, 2212100121331 is an apocalyptic number.

212100121331 is a deficient number, since it is larger than the sum of its proper divisors (37242638797).

212100121331 is a wasteful number, since it uses less digits than its factorization.

212100121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066782.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212100121331 its reverse (133121001212), we get a palindrome (345221122543).

The spelling of 212100121331 in words is "two hundred twelve billion, one hundred million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 7 41 241 287 1687 9881 69167 3066493 21465451 125726213 739024813 880083491 5173173691 30300017333 212100121331