Search a number
-
+
124330122 = 2327412587
BaseRepresentation
bin1110110100100…
…10000010001010
322122221121212100
413122102002022
5223312030442
620200454230
73036534330
oct732220212
9278847770
10124330122
11641aa074
123577a376
131c9b1b27
1412725b50
15adad84c
hex769208a

124330122 has 72 divisors (see below), whose sum is σ = 316094688. Its totient is φ = 34597440.

The previous prime is 124330117. The next prime is 124330127. The reversal of 124330122 is 221033421.

It is an interprime number because it is at equal distance from previous prime (124330117) and next prime (124330127).

It is a super-3 number, since 3×1243301223 (a number of 25 digits) contains 333 as substring.

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 = 124330095 and 124330104.

It is not an unprimeable number, because it can be changed into a prime (124330127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211513 + ... + 212099.

It is an arithmetic number, because the mean of its divisors is an integer number (4390204).

Almost surely, 2124330122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158047344).

124330122 is an abundant number, since it is smaller than the sum of its proper divisors (191764566).

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

124330122 is a wasteful number, since it uses less digits than its factorization.

124330122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 640 counting only the distinct ones).

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

The square root of 124330122 is about 11150.3417884834. The cubic root of 124330122 is about 499.1052290584.

Adding to 124330122 its reverse (221033421), we get a palindrome (345363543).

The spelling of 124330122 in words is "one hundred twenty-four million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 587 738 861 1174 1681 1722 1761 2583 3362 3522 4109 5043 5166 5283 8218 10086 10566 11767 12327 15129 23534 24067 24654 30258 35301 36981 48134 70602 72201 73962 105903 144402 168469 211806 216603 336938 433206 505407 986747 1010814 1516221 1973494 2960241 3032442 5920482 6907229 8880723 13814458 17761446 20721687 41443374 62165061 124330122