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123142305 = 351121317307
BaseRepresentation
bin1110101011100…
…00000010100001
322120201021111010
413111300002201
5223011023210
620115211133
73023456316
oct725600241
9276637433
10123142305
1163568700
12352a6aa9
131c687290
14124d6d0d
15ac26920
hex75700a1

123142305 has 96 divisors (see below), whose sum is σ = 247750272. Its totient is φ = 51701760.

The previous prime is 123142301. The next prime is 123142307. The reversal of 123142305 is 503241321.

It is not a de Polignac number, because 123142305 - 22 = 123142301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123142301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400962 + ... + 401268.

It is an arithmetic number, because the mean of its divisors is an integer number (2580732).

Almost surely, 2123142305 is an apocalyptic number.

123142305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123142305 is an abundant number, since it is smaller than the sum of its proper divisors (124607967).

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

123142305 is a wasteful number, since it uses less digits than its factorization.

123142305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 123142305 is about 11096.9502567147. The cubic root of 123142305 is about 497.5107006781.

Adding to 123142305 its reverse (503241321), we get a palindrome (626383626).

The spelling of 123142305 in words is "one hundred twenty-three million, one hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 11 13 15 17 33 39 51 55 65 85 121 143 165 187 195 221 255 307 363 429 561 605 663 715 921 935 1105 1535 1573 1815 2057 2145 2431 2805 3315 3377 3991 4605 4719 5219 6171 7293 7865 10131 10285 11973 12155 15657 16885 19955 23595 26095 26741 30855 36465 37147 43901 50655 57409 59865 67847 78285 80223 111441 131703 133705 172227 185735 203541 219505 287045 339235 401115 482911 557205 631499 658515 746317 861135 1017705 1448733 1894497 2238951 2414555 3157495 3731585 7243665 8209487 9472485 11194755 24628461 41047435 123142305