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242111300 = 225219791613
BaseRepresentation
bin11100110111001…
…01001101000100
3121212120112021012
432123211031010
5443440030200
640005141352
75666624564
oct1633451504
9555515235
10242111300
11114735892
12690ba858
133b20cb32
1424224da4
15163c6a35
hexe6e5344

242111300 has 72 divisors (see below), whose sum is σ = 560380800. Its totient is φ = 90529920.

The previous prime is 242111293. The next prime is 242111329. The reversal of 242111300 is 3111242.

242111300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149294 + ... + 150906.

Almost surely, 2242111300 is an apocalyptic number.

242111300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280190400).

242111300 is an abundant number, since it is smaller than the sum of its proper divisors (318269500).

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

242111300 is a wasteful number, since it uses less digits than its factorization.

242111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 242111300 is about 15559.9260923695. The cubic root of 242111300 is about 623.2634890493.

Adding to 242111300 its reverse (3111242), we get a palindrome (245222542).

The spelling of 242111300 in words is "two hundred forty-two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 79 95 100 158 190 316 380 395 475 790 950 1501 1580 1613 1900 1975 3002 3226 3950 6004 6452 7505 7900 8065 15010 16130 30020 30647 32260 37525 40325 61294 75050 80650 122588 127427 150100 153235 161300 254854 306470 509708 612940 637135 766175 1274270 1532350 2421113 2548540 3064700 3185675 4842226 6371350 9684452 12105565 12742700 24211130 48422260 60527825 121055650 242111300