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242121012 = 223713122003
BaseRepresentation
bin11100110111001…
…11100100110100
3121212121000120220
432123213210310
5443440333022
640005254340
75666665110
oct1633474464
9555530526
10242121012
11114742111
12691043b0
133b214393
1424228740
15163c985c
hexe6e7934

242121012 has 48 divisors (see below), whose sum is σ = 650614272. Its totient is φ = 68646240.

The previous prime is 242121001. The next prime is 242121041. The reversal of 242121012 is 210121242.

It is a junction number, because it is equal to n+sod(n) for n = 242120982 and 242121000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3 + ... + 22005.

It is an arithmetic number, because the mean of its divisors is an integer number (13554464).

Almost surely, 2242121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325307136).

242121012 is an abundant number, since it is smaller than the sum of its proper divisors (408493260).

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

242121012 is a wasteful number, since it uses less digits than its factorization.

242121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22148 (or 22146 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 242121012 is about 15560.2381729844. The cubic root of 242121012 is about 623.2718227565.

Adding to 242121012 its reverse (210121242), we get a palindrome (452242254).

The spelling of 242121012 in words is "two hundred forty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 22003 44006 66009 88012 132018 154021 264036 308042 462063 616084 924126 1848252 2882393 5764786 8647179 11529572 17294358 20176751 34588716 40353502 60530253 80707004 121060506 242121012