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123053112 = 233272132683
BaseRepresentation
bin1110101010110…
…10010000111000
322120112202010200
413111122100320
5223000144422
620113242200
73022635300
oct725322070
9276482120
10123053112
1163507696
1235263360
131c6557c0
14124b2600
15ac0a2ac
hex755a438

123053112 has 144 divisors (see below), whose sum is σ = 417657240. Its totient is φ = 32441472.

The previous prime is 123053111. The next prime is 123053113. The reversal of 123053112 is 211350321.

123053112 is a `hidden beast` number, since 123 + 0 + 531 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (123053111) and next prime (123053113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123053111) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 44523 + ... + 47205.

Almost surely, 2123053112 is an apocalyptic number.

123053112 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 123053112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208828620).

123053112 is an abundant number, since it is smaller than the sum of its proper divisors (294604128).

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

123053112 is a wasteful number, since it uses less digits than its factorization.

123053112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 123053112 is about 11092.9307218607. The cubic root of 123053112 is about 497.3905546139.

The spelling of 123053112 in words is "one hundred twenty-three million, fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 2683 3276 3528 3822 5096 5366 5733 6552 7644 8049 10732 11466 15288 16098 18781 21464 22932 24147 32196 34879 37562 45864 48294 56343 64392 69758 75124 96588 104637 112686 131467 139516 150248 169029 193176 209274 225372 244153 262934 279032 313911 338058 394401 418548 450744 488306 525868 627822 676116 732459 788802 837096 976612 1051736 1183203 1255644 1352232 1464918 1577604 1709071 1953224 2197377 2366406 2511288 2929836 3155208 3418142 4394754 4732812 5127213 5859672 6836284 8789508 9465624 10254426 13672568 15381639 17579016 20508852 30763278 41017704 61526556 123053112