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242124102 = 232112275387
BaseRepresentation
bin11100110111010…
…00010101000110
3121212121011211100
432123220111012
5443440432402
640005320530
76000010113
oct1633502506
9555534740
10242124102
11114744470
1269106146
133b2158cc
142422990a
15163ca71c
hexe6e8546

242124102 has 48 divisors (see below), whose sum is σ = 574921152. Its totient is φ = 73034160.

The previous prime is 242124101. The next prime is 242124107. The reversal of 242124102 is 201421242.

242124102 is a `hidden beast` number, since 2 + 421 + 241 + 0 + 2 = 666.

242124102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (242124101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42253 + ... + 47639.

It is an arithmetic number, because the mean of its divisors is an integer number (11977524).

Almost surely, 2242124102 is an apocalyptic number.

242124102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242124102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287460576).

242124102 is an abundant number, since it is smaller than the sum of its proper divisors (332797050).

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

242124102 is a wasteful number, since it uses less digits than its factorization.

242124102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242124102 is about 15560.3374642069. The cubic root of 242124102 is about 623.2744741879.

Adding to 242124102 its reverse (201421242), we get a palindrome (443545344).

The spelling of 242124102 in words is "two hundred forty-two million, one hundred twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 454 681 1362 2043 2497 4086 4994 5387 7491 10774 14982 16161 22473 32322 44946 48483 59257 96966 118514 177771 355542 533313 1066626 1222849 2445698 3668547 7337094 11005641 13451339 22011282 26902678 40354017 80708034 121062051 242124102