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230101132001 = 1322977705741
BaseRepresentation
bin1101011001001100011…
…0001010001011100001
3210222221010212121220012
43112103012022023201
512232221342211001
6253412413454305
722424056231226
oct3262306121341
9728833777805
10230101132001
11896490aa1a4
12387184a1395
13189106330a0
14b1cbb3394d
155ebadc82bb
hex359318a2e1

230101132001 has 8 divisors (see below), whose sum is σ = 247909131624. Its totient is φ = 212308548480.

The previous prime is 230101131979. The next prime is 230101132013. The reversal of 230101132001 is 100231101032.

It can be written as a sum of positive squares in 4 ways, for example, as 50283577600 + 179817554401 = 224240^2 + 424049^2 .

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 230101132001 - 26 = 230101131937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230101132061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3823010 + ... + 3882731.

It is an arithmetic number, because the mean of its divisors is an integer number (30988641453).

Almost surely, 2230101132001 is an apocalyptic number.

It is an amenable number.

230101132001 is a deficient number, since it is larger than the sum of its proper divisors (17807999623).

230101132001 is a wasteful number, since it uses less digits than its factorization.

230101132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708051.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 230101132001 its reverse (100231101032), we get a palindrome (330332233033).

The spelling of 230101132001 in words is "two hundred thirty billion, one hundred one million, one hundred thirty-two thousand, one".

Divisors: 1 13 2297 29861 7705741 100174633 17700087077 230101132001