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123350052 = 223721961181
BaseRepresentation
bin1110101101000…
…10110000100100
322121002211110110
413112202300210
5223034200202
620123453020
73025313100
oct726426044
9277084413
10123350052
116369a7a1
1235387170
131c72a9c7
141254c900
15ac6826c
hex75a2c24

123350052 has 144 divisors (see below), whose sum is σ = 360185280. Its totient is φ = 32659200.

The previous prime is 123349999. The next prime is 123350057. The reversal of 123350052 is 250053321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (123350057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681402 + ... + 681582.

Almost surely, 2123350052 is an apocalyptic number.

123350052 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 123350052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640).

123350052 is an abundant number, since it is smaller than the sum of its proper divisors (236835228).

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

123350052 is a wasteful number, since it uses less digits than its factorization.

123350052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 123350052 is about 11106.3068569169. The cubic root of 123350052 is about 497.7903183328.

The spelling of 123350052 in words is "one hundred twenty-three million, three hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 61 76 84 98 114 122 133 147 181 183 196 228 244 266 294 362 366 399 427 532 543 588 724 732 798 854 931 1086 1159 1267 1281 1596 1708 1862 2172 2318 2534 2562 2793 2989 3439 3477 3724 3801 4636 5068 5124 5586 5978 6878 6954 7602 8113 8869 8967 10317 11041 11172 11956 13756 13908 15204 16226 17738 17934 20634 22082 24073 24339 26607 32452 33123 35476 35868 41268 44164 48146 48678 53214 56791 66246 72219 77287 96292 97356 106428 113582 132492 144438 154574 168511 170373 209779 227164 231861 288876 309148 337022 340746 419558 463722 505533 541009 629337 674044 681492 839116 927444 1011066 1082018 1258674 1468453 1623027 2022132 2164036 2517348 2936906 3246054 4405359 5873812 6492108 8810718 10279171 17621436 20558342 30837513 41116684 61675026 123350052