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214233322431123 = 3425111179433549
BaseRepresentation
bin110000101101100000010101…
…000101010010001010010011
31001002112111122120212120220000
4300231200111011102022103
5211034444321020243443
62035345232450021043
763060563304636222
oct6055402505221223
91032474576776800
10214233322431123
1162296929508906
122003ba2a277783
139270167031258
143ac8d3b956cb9
1519b7a78a6e8d3
hexc2d815152293

214233322431123 has 40 divisors (see below), whose sum is σ = 321590247778800. Its totient is φ = 142125834168000.

The previous prime is 214233322431061. The next prime is 214233322431143. The reversal of 214233322431123 is 321134223332412.

It is a happy number.

214233322431123 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 3 + 332 + 2 + 4 + 311 + 2 + 3 = 666.

It is not a de Polignac number, because 214233322431123 - 28 = 214233322430867 is a prime.

It is a super-2 number, since 2×2142333224311232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214233322431143) 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 39 ways as a sum of consecutive naturals, for example, 17992953 + ... + 27426501.

It is an arithmetic number, because the mean of its divisors is an integer number (8039756194470).

Almost surely, 2214233322431123 is an apocalyptic number.

214233322431123 is a deficient number, since it is larger than the sum of its proper divisors (107356925347677).

214233322431123 is a wasteful number, since it uses less digits than its factorization.

214233322431123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434929 (or 9434920 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 214233322431123 its reverse (321134223332412), we get a palindrome (535367545763535).

The spelling of 214233322431123 in words is "two hundred fourteen trillion, two hundred thirty-three billion, three hundred twenty-two million, four hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 27 81 251 753 1117 2259 3351 6777 10053 20331 30159 90477 280367 841101 2523303 7569909 9433549 22709727 28300647 84901941 254705823 764117469 2367820799 7103462397 10537274233 21310387191 31611822699 63931161573 94835468097 191793484719 284506404291 853519212873 2644855832483 7934567497449 23803702492347 71411107477041 214233322431123