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123102042 = 23729211479
BaseRepresentation
bin1110101011001…
…10001101011010
322120122020020220
413111212031122
5223003231132
620114300510
73023231040
oct725461532
9276566226
10123102042
1163540428
1235287736
131c671b5b
14124c6390
15ac19a2c
hex756635a

123102042 has 64 divisors (see below), whose sum is σ = 293068800. Its totient is φ = 33727680.

The previous prime is 123102037. The next prime is 123102053. The reversal of 123102042 is 240201321.

It is a super-2 number, since 2×1231020422 = 30308225489139528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256759 + ... + 257237.

It is an arithmetic number, because the mean of its divisors is an integer number (4579200).

Almost surely, 2123102042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123102042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146534400).

123102042 is an abundant number, since it is smaller than the sum of its proper divisors (169966758).

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

123102042 is a wasteful number, since it uses less digits than its factorization.

123102042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 123102042 is about 11095.1359613121. The cubic root of 123102042 is about 497.4564722066.

Adding to 123102042 its reverse (240201321), we get a palindrome (363303363).

The spelling of 123102042 in words is "one hundred twenty-three million, one hundred two thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 211 406 422 479 609 633 958 1218 1266 1437 1477 2874 2954 3353 4431 6119 6706 8862 10059 12238 13891 18357 20118 27782 36714 41673 42833 83346 85666 97237 101069 128499 194474 202138 256998 291711 303207 583422 606414 707483 1414966 2122449 2931001 4244898 5862002 8793003 17586006 20517007 41034014 61551021 123102042