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230351121 = 3571113947
BaseRepresentation
bin11011011101011…
…10000100010001
3121001110001100000
431232232010101
5432432213441
634505120213
75464644420
oct1556560421
9531401300
10230351121
11109033230
1265189069
1338953050
14228432b7
15153522b6
hexdbae111

230351121 has 96 divisors (see below), whose sum is σ = 463776768. Its totient is φ = 110341440.

The previous prime is 230351113. The next prime is 230351153. The reversal of 230351121 is 121153032.

230351121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230351121 - 23 = 230351113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230351094 and 230351103.

It is not an unprimeable number, because it can be changed into a prime (230351101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242770 + ... + 243716.

It is an arithmetic number, because the mean of its divisors is an integer number (4831008).

Almost surely, 2230351121 is an apocalyptic number.

230351121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230351121 is an abundant number, since it is smaller than the sum of its proper divisors (233425647).

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

230351121 is a wasteful number, since it uses less digits than its factorization.

230351121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 230351121 is about 15177.3225899695. The cubic root of 230351121 is about 613.0041904891.

The spelling of 230351121 in words is "two hundred thirty million, three hundred fifty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 189 231 243 273 297 351 429 567 693 819 891 947 1001 1053 1287 1701 2079 2457 2673 2841 3003 3159 3861 6237 6629 7371 8523 9009 10417 11583 12311 18711 19887 22113 25569 27027 31251 34749 36933 59661 72919 76707 81081 86177 93753 110799 135421 178983 218757 230121 243243 258531 281259 332397 406263 536949 656271 775593 843777 947947 997191 1218789 1610847 1968813 2326779 2531331 2843841 2991573 3656367 5906439 6980337 8531523 10969101 17719317 20941011 25594569 32907303 76783707 230351121