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123030312 = 233231072083
BaseRepresentation
bin1110101010101…
…00101100101000
322120111120212020
413111110230220
5222443432222
620112544440
73022511646
oct725245450
9276446766
10123030312
11634a1549
1235252120
131c648302
14124a8196
15ac0365c
hex7554b28

123030312 has 64 divisors (see below), whose sum is σ = 324103680. Its totient is φ = 38841792.

The previous prime is 123030287. The next prime is 123030329. The reversal of 123030312 is 213030321.

It is a junction number, because it is equal to n+sod(n) for n = 123030291 and 123030300.

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 15 ways as a sum of consecutive naturals, for example, 58023 + ... + 60105.

It is an arithmetic number, because the mean of its divisors is an integer number (5064120).

Almost surely, 2123030312 is an apocalyptic number.

123030312 is a gapful number since it is divisible by the number (12) 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 123030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162051840).

123030312 is an abundant number, since it is smaller than the sum of its proper divisors (201073368).

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

123030312 is a wasteful number, since it uses less digits than its factorization.

123030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123030312 is about 11091.9029927240. The cubic root of 123030312 is about 497.3598329064.

Adding to 123030312 its reverse (213030321), we get a palindrome (336060633).

Subtracting 123030312 from its reverse (213030321), we obtain a palindrome (90000009).

The spelling of 123030312 in words is "one hundred twenty-three million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 107 138 184 214 276 321 428 552 642 856 1284 2083 2461 2568 4166 4922 6249 7383 8332 9844 12498 14766 16664 19688 24996 29532 47909 49992 59064 95818 143727 191636 222881 287454 383272 445762 574908 668643 891524 1149816 1337286 1783048 2674572 5126263 5349144 10252526 15378789 20505052 30757578 41010104 61515156 123030312