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242312100 = 22352807707
BaseRepresentation
bin11100111000101…
…10001110100100
3121212221201201020
432130112032210
5444012441400
640013331140
76001422162
oct1634261644
9555851636
10242312100
11114862738
1269196ab0
133b280354
1424278232
15164162a0
hexe7163a4

242312100 has 36 divisors (see below), whose sum is σ = 701090544. Its totient is φ = 64616480.

The previous prime is 242312087. The next prime is 242312113. The reversal of 242312100 is 1213242.

242312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242312087) and next prime (242312113).

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 242312100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403554 + ... + 404153.

Almost surely, 2242312100 is an apocalyptic number.

242312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242312100 is an abundant number, since it is smaller than the sum of its proper divisors (458778444).

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

242312100 is a wasteful number, since it uses less digits than its factorization.

242312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807724 (or 807717 counting only the distinct ones).

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

The square root of 242312100 is about 15566.3772278588. The cubic root of 242312100 is about 623.4357469125.

Adding to 242312100 its reverse (1213242), we get a palindrome (243525342).

The spelling of 242312100 in words is "two hundred forty-two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 807707 1615414 2423121 3230828 4038535 4846242 8077070 9692484 12115605 16154140 20192675 24231210 40385350 48462420 60578025 80770700 121156050 242312100