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242121300 = 22352807071
BaseRepresentation
bin11100110111001…
…11101001010100
3121212121000222120
432123213221110
5443440340200
640005255540
75666666001
oct1633475124
9555530876
10242121300
11114742353
12691045b0
133b214555
14242288a8
15163c99a0
hexe6e7a54

242121300 has 36 divisors (see below), whose sum is σ = 700538496. Its totient is φ = 64565600.

The previous prime is 242121263. The next prime is 242121301. The reversal of 242121300 is 3121242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 242121300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242121301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403236 + ... + 403835.

Almost surely, 2242121300 is an apocalyptic number.

242121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242121300 is an abundant number, since it is smaller than the sum of its proper divisors (458417196).

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

242121300 is a wasteful number, since it uses less digits than its factorization.

242121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807088 (or 807081 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 242121300 is about 15560.2474273387. The cubic root of 242121300 is about 623.2720698812.

Adding to 242121300 its reverse (3121242), we get a palindrome (245242542).

The spelling of 242121300 in words is "two hundred forty-two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 807071 1614142 2421213 3228284 4035355 4842426 8070710 9684852 12106065 16141420 20176775 24212130 40353550 48424260 60530325 80707100 121060650 242121300