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231130122233003 = 723311491931610369
BaseRepresentation
bin110100100011011000101100…
…110101010010010010101011
31010022100211020121200120022122
4310203120230311102102223
5220243313442242424003
62135323413510141455
766453412615341620
oct6443305465222253
91108324217616278
10231130122233003
11677108094a5934
1221b0a69635188b
139bc7627c978b6
144110a86c20347
151bac35903a238
hexd2362cd524ab

231130122233003 has 64 divisors (see below), whose sum is σ = 287918696448000. Its totient is φ = 181210459668480.

The previous prime is 231130122232993. The next prime is 231130122233011. The reversal of 231130122233003 is 300332221031132.

It is not a de Polignac number, because 231130122233003 - 236 = 231061402756267 is a prime.

It is a super-2 number, since 2×2311301222330032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231130122233093) 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 63 ways as a sum of consecutive naturals, for example, 142721003 + ... + 144331371.

It is an arithmetic number, because the mean of its divisors is an integer number (4498729632000).

Almost surely, 2231130122233003 is an apocalyptic number.

231130122233003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

231130122233003 is a deficient number, since it is larger than the sum of its proper divisors (56788574214997).

231130122233003 is a wasteful number, since it uses less digits than its factorization.

231130122233003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610772.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 231130122233003 its reverse (300332221031132), we get a palindrome (531462343264135).

The spelling of 231130122233003 in words is "two hundred thirty-one trillion, one hundred thirty billion, one hundred twenty-two million, two hundred thirty-three thousand, three".

Divisors: 1 7 23 31 149 161 193 217 713 1043 1351 3427 4439 4619 4991 5983 23989 28757 31073 32333 41881 106237 137609 201299 661411 743659 891467 963263 1610369 4629877 6240269 11272583 20503741 37038487 49921439 143526187 239944981 259269409 310801217 349450073 1148193097 1679614867 2175608519 5518734563 7148427991 7438294411 8037351679 9634837727 38631141941 46309381333 50038995937 52068060877 67443864089 171080771453 221601267721 324165669331 1065115770659 1197565400171 1435590821323 1551208874047 7455810394613 10049135749261 33018588890429 231130122233003