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123144030 = 23351493061
BaseRepresentation
bin1110101011100…
…00011101011110
322120201100212000
413111300131132
5223011102110
620115223130
73023464332
oct725603536
9276640760
10123144030
1163569a29
12352a7aa6
131c687cb9
14124d77c2
15ac271c0
hex757075e

123144030 has 64 divisors (see below), whose sum is σ = 330696000. Its totient is φ = 32607360.

The previous prime is 123144013. The next prime is 123144037. The reversal of 123144030 is 30441321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123143994 and 123144012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123144037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38700 + ... + 41760.

It is an arithmetic number, because the mean of its divisors is an integer number (5167125).

Almost surely, 2123144030 is an apocalyptic number.

123144030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123144030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165348000).

123144030 is an abundant number, since it is smaller than the sum of its proper divisors (207551970).

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

123144030 is a wasteful number, since it uses less digits than its factorization.

123144030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123144030 is about 11097.0279805000. The cubic root of 123144030 is about 497.5130237409.

Adding to 123144030 its reverse (30441321), we get a palindrome (153585351).

The spelling of 123144030 in words is "one hundred twenty-three million, one hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 745 894 1341 1490 2235 2682 3061 4023 4470 6122 6705 8046 9183 13410 15305 18366 20115 27549 30610 40230 45915 55098 82647 91830 137745 165294 275490 413235 456089 826470 912178 1368267 2280445 2736534 4104801 4560890 6841335 8209602 12314403 13682670 20524005 24628806 41048010 61572015 123144030