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212223220123131 = 32773223672063107
BaseRepresentation
bin110000010000010000010001…
…101001100000010111111011
31000211102100020002202022121200
4300100100101221200113323
5210304031123322420011
62031210000145305243
762462423143142160
oct6020202151402773
91024370202668550
10212223220123131
11616913a9125558
121b976347035223
13915574383b559
143a59931512067
15198062dc25856
hexc10411a605fb

212223220123131 has 48 divisors (see below), whose sum is σ = 355151927629824. Its totient is φ = 119603767439232.

The previous prime is 212223220123127. The next prime is 212223220123157. The reversal of 212223220123131 is 131321022322212.

212223220123131 is a `hidden beast` number, since 2 + 1 + 2 + 22 + 322 + 0 + 1 + 2 + 313 + 1 = 666.

It is not a de Polignac number, because 212223220123131 - 22 = 212223220123127 is a prime.

It is a super-2 number, since 2×2122232201231312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212223220123095 and 212223220123104.

It is not an unprimeable number, because it can be changed into a prime (212223220123121) 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 47 ways as a sum of consecutive naturals, for example, 101834280 + ... + 103897386.

It is an arithmetic number, because the mean of its divisors is an integer number (7398998492288).

Almost surely, 2212223220123131 is an apocalyptic number.

212223220123131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212223220123131 is a deficient number, since it is larger than the sum of its proper divisors (142928707506693).

212223220123131 is a wasteful number, since it uses less digits than its factorization.

212223220123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085560 (or 2085557 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212223220123131 its reverse (131321022322212), we get a palindrome (343544242445343).

The spelling of 212223220123131 in words is "two hundred twelve trillion, two hundred twenty-three billion, two hundred twenty million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 73 219 511 657 1533 4599 22367 67101 156569 201303 469707 1409121 1632791 2063107 4898373 6189321 11429537 14441749 14695119 18567963 34288611 43325247 102865833 129975741 150606811 451820433 1054247677 1355461299 3162743031 9488229093 46145514269 138436542807 323018599883 415309628421 969055799649 2907167398947 3368622541637 10105867624911 23580357791459 30317602874733 70741073374377 212223220123131