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230331331232113 = 2381149576467689
BaseRepresentation
bin110100010111110000110001…
…001011011100000101110001
31010012112110102111111100022211
4310113300301023130011301
5220142222031243411423
62133512430334532121
766341614052015416
oct6427606113340561
91105473374440284
10230331331232113
1167432a72834061
12219bb908967041
139b6a1c7643817
1440c414b28c10d
151b966a6e6010d
hexd17c312dc171

230331331232113 has 8 divisors (see below), whose sum is σ = 230443510121640. Its totient is φ = 230219165312640.

The previous prime is 230331331232083. The next prime is 230331331232201. The reversal of 230331331232113 is 311232133133032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15134658529 + 230316196573584 = 123023^2 + 15176172^2 .

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 230331331232113 - 237 = 230193892278641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230331338232113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32378773 + ... + 38846461.

It is an arithmetic number, because the mean of its divisors is an integer number (28805438765205).

Almost surely, 2230331331232113 is an apocalyptic number.

It is an amenable number.

230331331232113 is a deficient number, since it is larger than the sum of its proper divisors (112178889527).

230331331232113 is a wasteful number, since it uses less digits than its factorization.

230331331232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485027.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 230331331232113 its reverse (311232133133032), we get a palindrome (541563464365145).

The spelling of 230331331232113 in words is "two hundred thirty trillion, three hundred thirty-one billion, three hundred thirty-one million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 2381 14957 6467689 35612617 15399567509 96737224373 230331331232113