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2132210122312 = 233535931273241
BaseRepresentation
bin11111000001110001101…
…000000111111001001000
321112211121101111221102211
4133001301220013321020
5234413231242403222
64311305050434504
7310022104000504
oct37016150077110
97484541457384
102132210122312
117522a1033586
122a52a0a32a34
131260b32a298a
14752b16ad304
153a6e4dac277
hex1f071a07e48

2132210122312 has 32 divisors (see below), whose sum is σ = 4015983521880. Its totient is φ = 1061291376640.

The previous prime is 2132210122303. The next prime is 2132210122319.

2132210122312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1706644380996 + 425565741316 = 1306386^2 + 652354^2 .

It is not an unprimeable number, because it can be changed into a prime (2132210122319) 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 7 ways as a sum of consecutive naturals, for example, 1038012 + ... + 2311252.

Almost surely, 22132210122312 is an apocalyptic number.

It is an amenable number.

2132210122312 is a deficient number, since it is larger than the sum of its proper divisors (1883773399568).

2132210122312 is a wasteful number, since it uses less digits than its factorization.

2132210122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274193 (or 1274189 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2132210 and 122312, that added together give a palindrome (2254522).

The spelling of 2132210122312 in words is "two trillion, one hundred thirty-two billion, two hundred ten million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 353 593 706 1186 1412 2372 2824 4744 209329 418658 837316 1273241 1674632 2546482 5092964 10185928 449454073 755031913 898908146 1510063826 1797816292 3020127652 3595632584 6040255304 266526265289 533052530578 1066105061156 2132210122312