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212322111302133 = 33717232873139167
BaseRepresentation
bin110000010001101100011000…
…000001011010100111110101
31000211202210110222221201102000
4300101230120001122213311
5210312141140443132013
62031323233102405513
762502523564245330
oct6021543001324765
91024683428851360
10212322111302133
116171a335670a68
121b991545590899
139161b736cc2a1
143a606331b9617
151982eba935973
hexc11b1805a9f5

212322111302133 has 64 divisors (see below), whose sum is σ = 397182758584320. Its totient is φ = 109225258534656.

The previous prime is 212322111302083. The next prime is 212322111302141. The reversal of 212322111302133 is 331203111223212.

212322111302133 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 221 + 1 + 1 + 302 + 133 = 666.

It is not a de Polignac number, because 212322111302133 - 210 = 212322111301109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212322111302097 and 212322111302106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212322111302153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1436495685 + ... + 1436643482.

It is an arithmetic number, because the mean of its divisors is an integer number (6205980602880).

Almost surely, 2212322111302133 is an apocalyptic number.

212322111302133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212322111302133 is a deficient number, since it is larger than the sum of its proper divisors (184860647282187).

212322111302133 is a wasteful number, since it uses less digits than its factorization.

212322111302133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873139223 (or 2873139217 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212322111302133 its reverse (331203111223212), we get a palindrome (543525222525345).

The spelling of 212322111302133 in words is "two hundred twelve trillion, three hundred twenty-two billion, one hundred eleven million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 17 21 23 27 51 63 69 119 153 161 189 207 357 391 459 483 621 1071 1173 1449 2737 3213 3519 4347 8211 10557 24633 73899 2873139167 8619417501 20111974169 25858252503 48843365839 60335922507 66082200841 77574757509 146530097517 181007767521 198246602523 341903560873 439590292551 462575405887 543023302563 594739807569 1025710682619 1123397414297 1318770877653 1387726217661 1784219422707 3077132047857 3370192242891 4163178652983 7863781900079 9231396143571 10110576728673 12489535958949 23591345700237 30331730186019 70774037100711 212322111302133