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123212442303 = 34293110491613
BaseRepresentation
bin111001011000000001…
…0001010101010111111
3102210000212221120220000
41302300002022222333
54004314341123203
6132334130125343
711621214323256
oct1626002125277
9383025846800
10123212442303
1148288236615
121ba67720853
13b8078c12c2
145d6bc4d79d
1533120104a3
hex1cb008aabf

123212442303 has 80 divisors (see below), whose sum is σ = 196856352000. Its totient is φ = 76630095360.

The previous prime is 123212442299. The next prime is 123212442329. The reversal of 123212442303 is 303244212321.

123212442303 is a `hidden beast` number, since 1 + 2 + 3 + 212 + 442 + 3 + 0 + 3 = 666.

It is not a de Polignac number, because 123212442303 - 22 = 123212442299 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123212442343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76386325 + ... + 76387937.

It is an arithmetic number, because the mean of its divisors is an integer number (2460704400).

Almost surely, 2123212442303 is an apocalyptic number.

123212442303 is a deficient number, since it is larger than the sum of its proper divisors (73643909697).

123212442303 is a wasteful number, since it uses less digits than its factorization.

123212442303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123212442303 its reverse (303244212321), we get a palindrome (426456654624).

The spelling of 123212442303 in words is "one hundred twenty-three billion, two hundred twelve million, four hundred forty-two thousand, three hundred three".

Divisors: 1 3 9 27 29 31 81 87 93 261 279 783 837 899 1049 1613 2349 2511 2697 3147 4839 8091 9441 14517 24273 28323 30421 32519 43551 46777 50003 72819 84969 91263 97557 130653 140331 150009 273789 292671 420993 450027 821367 878013 943051 1262979 1350081 1450087 1692037 2464101 2634039 2829153 3788937 4050243 4350261 5076111 8487459 13050783 15228333 25462377 39152349 45684999 49069073 52453147 76387131 117457047 137054997 147207219 157359441 441621657 472078323 1324864971 1416234969 1521141263 3974594913 4248704907 4563423789 13690271367 41070814101 123212442303