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123103104 = 2731132837
BaseRepresentation
bin1110101011001…
…10011110000000
322120122021201020
413111212132000
5223003244404
620114305440
73023234115
oct725463600
9276567636
10123103104
1163541203
1235288280
131c672497
14124c690c
15ac19ed9
hex7566780

123103104 has 64 divisors (see below), whose sum is σ = 330002640. Its totient is φ = 40656896.

The previous prime is 123103081. The next prime is 123103111. The reversal of 123103104 is 401301321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41974 + ... + 44810.

Almost surely, 2123103104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165001320).

123103104 is an abundant number, since it is smaller than the sum of its proper divisors (206899536).

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

123103104 is a wasteful number, since it uses less digits than its factorization.

123103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123103104 is about 11095.1838200185. The cubic root of 123103104 is about 497.4579027198.

Adding to 123103104 its reverse (401301321), we get a palindrome (524404425).

The spelling of 123103104 in words is "one hundred twenty-three million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2712 2837 3616 5424 5674 7232 8511 10848 11348 14464 17022 21696 22696 34044 43392 45392 68088 90784 136176 181568 272352 320581 363136 544704 641162 961743 1089408 1282324 1923486 2564648 3846972 5129296 7693944 10258592 15387888 20517184 30775776 41034368 61551552 123103104