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123141432 = 23319261233
BaseRepresentation
bin1110101011011…
…11110100111000
322120201020021210
413111233310320
5223011011212
620115203120
73023453631
oct725576470
9276636253
10123141432
1163567a87
12352a64a0
131c686a6b
14124d6888
15ac2653c
hex756fd38

123141432 has 96 divisors (see below), whose sum is σ = 331652880. Its totient is φ = 38085120.

The previous prime is 123141427. The next prime is 123141443. The reversal of 123141432 is 234141321.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123141399 and 123141408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528388 + ... + 528620.

Almost surely, 2123141432 is an apocalyptic number.

123141432 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 123141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

123141432 is an abundant number, since it is smaller than the sum of its proper divisors (208511448).

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

123141432 is a wasteful number, since it uses less digits than its factorization.

123141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 123141432 is about 11096.9109215132. The cubic root of 123141432 is about 497.5095249980.

Adding to 123141432 its reverse (234141321), we get a palindrome (357282753).

The spelling of 123141432 in words is "one hundred twenty-three million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 233 244 361 366 456 466 488 699 722 732 932 1083 1159 1398 1444 1464 1864 2166 2318 2796 2888 3477 4332 4427 4636 5592 6954 8664 8854 9272 13281 13908 14213 17708 22021 26562 27816 28426 35416 42639 44042 53124 56852 66063 84113 85278 88084 106248 113704 132126 168226 170556 176168 252339 264252 270047 336452 341112 504678 528504 540094 672904 810141 1009356 1080188 1620282 2018712 2160376 3240564 5130893 6481128 10261786 15392679 20523572 30785358 41047144 61570716 123141432