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231201331301 = 415699910469
BaseRepresentation
bin1101011101010010101…
…1000101100001100101
3211002202211002112121102
43113110223011201211
512242000020100201
6254113514525445
722463245614323
oct3272453054145
9732684075542
10231201331301
118a063140216
1238984a36885
1318a575536a5
14b293cc4d13
15603279d26b
hex35d4ac5865

231201331301 has 8 divisors (see below), whose sum is σ = 237256651800. Its totient is φ = 225165832960.

The previous prime is 231201331297. The next prime is 231201331303. The reversal of 231201331301 is 103133102132.

231201331301 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 10276890625 + 220924440676 = 101375^2 + 470026^2 .

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 231201331301 - 22 = 231201331297 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231201331303) 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, 4931906 + ... + 4978563.

It is an arithmetic number, because the mean of its divisors is an integer number (29657081475).

Almost surely, 2231201331301 is an apocalyptic number.

231201331301 is the 215036-th centered decagonal number.

It is an amenable number.

231201331301 is a deficient number, since it is larger than the sum of its proper divisors (6055320499).

231201331301 is an equidigital number, since it uses as much as digits as its factorization.

231201331301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9911079.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 231201331301 its reverse (103133102132), we get a palindrome (334334433433).

The spelling of 231201331301 in words is "two hundred thirty-one billion, two hundred one million, three hundred thirty-one thousand, three hundred one".

Divisors: 1 41 569 23329 9910469 406329229 5639056861 231201331301