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123000020 = 2251113291483
BaseRepresentation
bin1110101010011…
…01010011010100
322120110001022022
413111031103110
5222442000040
620112152312
73022324433
oct725152324
9276401268
10123000020
1163480810
1235238698
131c6375a0
141249b11a
15abe96b5
hex754d4d4

123000020 has 96 divisors (see below), whose sum is σ = 314133120. Its totient is φ = 39836160.

The previous prime is 123000019. The next prime is 123000023. The reversal of 123000020 is 20000321.

It is a junction number, because it is equal to n+sod(n) for n = 122999971 and 123000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000023) 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, 82199 + ... + 83681.

It is an arithmetic number, because the mean of its divisors is an integer number (3272220).

Almost surely, 2123000020 is an apocalyptic number.

123000020 is a gapful number since it is divisible by the number (10) 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 123000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157066560).

123000020 is an abundant number, since it is smaller than the sum of its proper divisors (191133100).

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

123000020 is a wasteful number, since it uses less digits than its factorization.

123000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 123000020 is about 11090.5374080790. The cubic root of 123000020 is about 497.3190102818.

Adding to 123000020 its reverse (20000321), we get a palindrome (143000341).

The spelling of 123000020 in words is "one hundred twenty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 143 145 220 260 286 290 319 377 572 580 638 715 754 1276 1430 1483 1508 1595 1885 2860 2966 3190 3770 4147 5932 6380 7415 7540 8294 14830 16313 16588 19279 20735 29660 32626 38558 41470 43007 65252 77116 81565 82940 86014 96395 163130 172028 192790 212069 215035 326260 385580 424138 430070 473077 559091 848276 860140 946154 1060345 1118182 1892308 2120690 2236364 2365385 2795455 4241380 4730770 5590910 6150001 9461540 11181820 12300002 24600004 30750005 61500010 123000020