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230311332306 = 2321110710870921
BaseRepresentation
bin1101011001111110100…
…0000000100111010010
3211000110210101220111200
43112133220000213102
512233134200113211
6253445323052030
722432221011136
oct3263750004722
9730423356450
10230311332306
1189746819860
1238776971016
131894504c173
14b20ba0d3c6
155ece599b56
hex359fa009d2

230311332306 has 48 divisors (see below), whose sum is σ = 549459881568. Its totient is φ = 69139051200.

The previous prime is 230311332287. The next prime is 230311332341. The reversal of 230311332306 is 603233113032.

It is a happy number.

230311332306 is a `hidden beast` number, since 23 + 0 + 3 + 1 + 1 + 332 + 306 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230311332306.

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, 5414275 + ... + 5456646.

It is an arithmetic number, because the mean of its divisors is an integer number (11447080866).

Almost surely, 2230311332306 is an apocalyptic number.

230311332306 is an abundant number, since it is smaller than the sum of its proper divisors (319148549262).

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

230311332306 is a wasteful number, since it uses less digits than its factorization.

230311332306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871047 (or 10871044 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 230311332306 its reverse (603233113032), we get a palindrome (833544445338).

The spelling of 230311332306 in words is "two hundred thirty billion, three hundred eleven million, three hundred thirty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 3531 7062 10593 21186 10870921 21741842 32612763 65225526 97838289 119580131 195676578 239160262 358740393 717480786 1076221179 1163188547 2152442358 2326377094 3489565641 6979131282 10468696923 12795074017 20937393846 25590148034 38385222051 76770444102 115155666153 230311332306