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230261640001 = 1741330361033
BaseRepresentation
bin1101011001110010101…
…0011100101101000001
3211000100022220021110221
43112130222130231001
512233033434440001
6253440350023041
722431045434461
oct3263452345501
9730308807427
10230261640001
1189720769238
12387621a7a81
1318937970b33
14b205195ba1
155eca0311a1
hex359ca9cb41

230261640001 has 8 divisors (see below), whose sum is σ = 249752941704. Its totient is φ = 211431060480.

The previous prime is 230261639941. The next prime is 230261640013. The reversal of 230261640001 is 100046162032.

230261640001 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 4 ways, for example, as 1850290225 + 228411349776 = 43015^2 + 477924^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 230261640001 - 225 = 230228085569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230261640031) 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 7 ways as a sum of consecutive naturals, for example, 165179820 + ... + 165181213.

It is an arithmetic number, because the mean of its divisors is an integer number (31219117713).

Almost surely, 2230261640001 is an apocalyptic number.

It is an amenable number.

230261640001 is a deficient number, since it is larger than the sum of its proper divisors (19491301703).

230261640001 is a wasteful number, since it uses less digits than its factorization.

230261640001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330361091.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 230261640001 in words is "two hundred thirty billion, two hundred sixty-one million, six hundred forty thousand, one".

Divisors: 1 17 41 697 330361033 5616137561 13544802353 230261640001