Search a number
-
+
230213212011 = 323735910131901
BaseRepresentation
bin1101011001100111000…
…1101101011101101011
3211000012221202212202200
43112121301231131223
512232434040241021
6253431500031243
722426620005136
oct3263161553553
9730187685680
10230213212011
11896a63a1602
1238749b32523
131892a916113
14b1dc98b21d
155ec5b67126
hex3599c6d76b

230213212011 has 48 divisors (see below), whose sum is σ = 342987203520. Its totient is φ = 148686278400.

The previous prime is 230213211971. The next prime is 230213212037. The reversal of 230213212011 is 110212312032.

230213212011 is a `hidden beast` number, since 230 + 213 + 21 + 201 + 1 = 666.

It is not a de Polignac number, because 230213212011 - 210 = 230213210987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230213212081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121100161 + ... + 121102061.

It is an arithmetic number, because the mean of its divisors is an integer number (7145566740).

Almost surely, 2230213212011 is an apocalyptic number.

230213212011 is a deficient number, since it is larger than the sum of its proper divisors (112773991509).

230213212011 is a wasteful number, since it uses less digits than its factorization.

230213212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230213212011 its reverse (110212312032), we get a palindrome (340425524043).

The spelling of 230213212011 in words is "two hundred thirty billion, two hundred thirteen million, two hundred twelve thousand, eleven".

Divisors: 1 3 9 37 111 333 359 1013 1077 1901 3039 3231 5703 9117 13283 17109 37481 39849 70337 112443 119547 211011 337329 363667 633033 682459 1091001 1925713 2047377 3273003 5777139 6142131 13455679 17331417 25250983 40367037 71251381 75752949 121101111 213754143 227258847 641262429 691330967 2073992901 6221978703 25579245779 76737737337 230213212011