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231312300031233 = 343923727939691
BaseRepresentation
bin110100100110000010010111…
…011110011011110100000001
31010100000020110220100121010000
4310212002113132123310001
5220304310042301444413
62135543223104430213
766502522300151661
oct6446022736336401
91110006426317100
10231312300031233
1167780aa5083063
1221b39a59318369
139c0b86bb69145
144119809d581a1
151bb1e6ca27073
hexd2609779bd01

231312300031233 has 20 divisors (see below), whose sum is σ = 345628677520368. Its totient is φ = 154168891065720.

The previous prime is 231312300031151. The next prime is 231312300031237. The reversal of 231312300031233 is 332130003213132.

231312300031233 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 12 + 300 + 0 + 312 + 33 = 666.

It is not a de Polignac number, because 231312300031233 - 225 = 231312266476801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231312300031197 and 231312300031206.

It is not an unprimeable number, because it can be changed into a prime (231312300031237) 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 19 ways as a sum of consecutive naturals, for example, 363652083 + ... + 364287608.

Almost surely, 2231312300031233 is an apocalyptic number.

It is an amenable number.

231312300031233 is a deficient number, since it is larger than the sum of its proper divisors (114316377489135).

231312300031233 is an equidigital number, since it uses as much as digits as its factorization.

231312300031233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727943626 (or 727943617 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 231312300031233 its reverse (332130003213132), we get a palindrome (563442303244365).

The spelling of 231312300031233 in words is "two hundred thirty-one trillion, three hundred twelve billion, three hundred million, thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 3923 11769 35307 105921 317763 727939691 2183819073 6551457219 19654371657 58963114971 2855707407793 8567122223379 25701366670137 77104100010411 231312300031233