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230211131201 = 2914953819901
BaseRepresentation
bin1101011001100110100…
…1110001011101000001
3211000012210212011102122
43112121221301131001
512232433022144301
6253431343254025
722426563220502
oct3263151613501
9730183764378
10230211131201
11896a5200227
12387492aa315
131892a367c7c
14b1dc5a8ba9
155ec58a581b
hex3599a71741

230211131201 has 16 divisors (see below), whose sum is σ = 239816538000. Its totient is φ = 220717728000.

The previous prime is 230211131159. The next prime is 230211131203. The reversal of 230211131201 is 102131112032.

230211131201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2131600 + 230208999601 = 1460^2 + 479801^2 .

It is a cyclic number.

It is not a de Polignac number, because 230211131201 - 226 = 230144022337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230211131201.

It is not an unprimeable number, because it can be changed into a prime (230211131203) 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 15 ways as a sum of consecutive naturals, for example, 23246351 + ... + 23256251.

It is an arithmetic number, because the mean of its divisors is an integer number (14988533625).

Almost surely, 2230211131201 is an apocalyptic number.

It is an amenable number.

230211131201 is a deficient number, since it is larger than the sum of its proper divisors (9605406799).

230211131201 is a wasteful number, since it uses less digits than its factorization.

230211131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15460.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 230211131201 its reverse (102131112032), we get a palindrome (332342243233).

The spelling of 230211131201 in words is "two hundred thirty billion, two hundred eleven million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 29 149 4321 5381 9901 156049 287129 801769 1475249 23251301 42782221 53277281 1545041149 7938314869 230211131201