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123010668 = 223211535861
BaseRepresentation
bin1110101010011…
…11111001101100
322120110120220200
413111033321230
5222442320133
620112313500
73022400454
oct725177154
9276416820
10123010668
1163488810
1235242890
131c63c3a1
14124a0d64
15abec913
hex754fe6c

123010668 has 72 divisors (see below), whose sum is σ = 345670416. Its totient is φ = 36566400.

The previous prime is 123010661. The next prime is 123010687. The reversal of 123010668 is 866010321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123010661) 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 23 ways as a sum of consecutive naturals, for example, 18058 + ... + 23918.

It is an arithmetic number, because the mean of its divisors is an integer number (4800978).

Almost surely, 2123010668 is an apocalyptic number.

123010668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123010668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172835208).

123010668 is an abundant number, since it is smaller than the sum of its proper divisors (222659748).

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

123010668 is a wasteful number, since it uses less digits than its factorization.

123010668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 123010668 is about 11091.0174465646. The cubic root of 123010668 is about 497.3333606860. Note that the first 4 decimals are identical.

Adding to 123010668 its reverse (866010321), we get a palindrome (989020989).

The spelling of 123010668 in words is "one hundred twenty-three million, ten thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3498 5247 5861 6996 10494 11722 17583 20988 23444 35166 52749 64471 70332 105498 128942 193413 210996 257884 310633 386826 580239 621266 773652 931899 1160478 1242532 1863798 2320956 2795697 3416963 3727596 5591394 6833926 10250889 11182788 13667852 20501778 30752667 41003556 61505334 123010668