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230214124107 = 33112532395563
BaseRepresentation
bin1101011001100111010…
…1001100001001001011
3211000020000111012221000
43112121311030021023
512232434303432412
6253431531350043
722426630524252
oct3263165141113
9730200435830
10230214124107
11896a6964900
123874a2b2323
131892ab75316
14b1dcb47799
155ec5c974dc
hex3599d4c24b

230214124107 has 96 divisors (see below), whose sum is σ = 383622220800. Its totient is φ = 136293917760.

The previous prime is 230214124081. The next prime is 230214124109. The reversal of 230214124107 is 701421412032.

230214124107 is a `hidden beast` number, since 2 + 30 + 214 + 1 + 2 + 410 + 7 = 666.

230214124107 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 230214124107 - 226 = 230147015243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230214124109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41380308 + ... + 41385870.

It is an arithmetic number, because the mean of its divisors is an integer number (3996064800).

Almost surely, 2230214124107 is an apocalyptic number.

230214124107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

230214124107 is a deficient number, since it is larger than the sum of its proper divisors (153408096693).

230214124107 is a wasteful number, since it uses less digits than its factorization.

230214124107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 230214124107 its reverse (701421412032), we get a palindrome (931635536139).

The spelling of 230214124107 in words is "two hundred thirty billion, two hundred fourteen million, one hundred twenty-four thousand, one hundred seven".

Divisors: 1 3 9 11 27 33 53 99 121 159 239 297 363 477 583 717 1089 1431 1749 2151 2629 3267 5247 5563 6413 6453 7887 12667 15741 16689 19239 23661 28919 38001 50067 57717 61193 70983 86757 114003 139337 150201 173151 183579 260271 294839 342009 418011 550737 673123 780813 884517 1254033 1329557 1532707 1652211 2019369 2653551 3243229 3762099 3988671 4598121 6058107 7960653 9729687 11966013 13794363 14625127 18174321 29189061 35675519 35898039 41383089 43875381 70466521 87567183 107026557 131626143 160876397 211399563 321079671 394878429 482629191 634198689 775131731 963239013 1447887573 1902596067 2325395193 4343662719 6976185579 8526449041 20928556737 25579347123 76738041369 230214124107