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123022300212 = 22327269740533
BaseRepresentation
bin111001010010010110…
…0110101010000110100
3102202112122011100222100
41302210230311100310
54003422202101322
6132303214502100
711613415204200
oct1624454652064
9382478140870
10123022300212
114819a976a99
121ba13b04930
13b7a73a8ca6
145d508b5b00
1533004a1dac
hex1ca4b35434

123022300212 has 54 divisors (see below), whose sum is σ = 361744149858. Its totient is φ = 35149228128.

The previous prime is 123022300189. The next prime is 123022300213. The reversal of 123022300212 is 212003220321.

123022300212 is a `hidden beast` number, since 1 + 230 + 223 + 0 + 0 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117514582416 + 5507717796 = 342804^2 + 74214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123022300213) 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 17 ways as a sum of consecutive naturals, for example, 34868503 + ... + 34872030.

Almost surely, 2123022300212 is an apocalyptic number.

123022300212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123022300212 is an abundant number, since it is smaller than the sum of its proper divisors (238721849646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123022300212 is a wasteful number, since it uses less digits than its factorization.

123022300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69740557 (or 69740545 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 123022300212 its reverse (212003220321), we get a palindrome (335025520533).

The spelling of 123022300212 in words is "one hundred twenty-three billion, twenty-two million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 69740533 139481066 209221599 278962132 418443198 488183731 627664797 836886396 976367462 1255329594 1464551193 1952734924 2510659188 2929102386 3417286117 4393653579 5858204772 6834572234 8787307158 10251858351 13669144468 17574614316 20503716702 30755575053 41007433404 61511150106 123022300212