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342420103233 = 321321092065397
BaseRepresentation
bin1001111101110011101…
…01000010000001000001
31012201211211211112202200
410332321311002001001
521102234021300413
6421150003103413
733511326565605
oct4767165020101
91181754745680
10342420103233
1112224624875a
1256443971b69
13263a03b8200
1412804cc3505
158d9188d573
hex4fb9d42041

342420103233 has 36 divisors (see below), whose sum is σ = 540494002620. Its totient is φ = 208786750848.

The previous prime is 342420103199. The next prime is 342420103237. The reversal of 342420103233 is 332301024243.

342420103233 is a `hidden beast` number, since 3 + 4 + 2 + 420 + 1 + 0 + 3 + 233 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30188367504 + 312231735729 = 173748^2 + 558777^2 .

It is not a de Polignac number, because 342420103233 - 217 = 342419972161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342420103197 and 342420103206.

It is not an unprimeable number, because it can be changed into a prime (342420103237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866910 + ... + 1198487.

It is an arithmetic number, because the mean of its divisors is an integer number (15013722295).

Almost surely, 2342420103233 is an apocalyptic number.

It is an amenable number.

342420103233 is a deficient number, since it is larger than the sum of its proper divisors (198073899387).

342420103233 is a wasteful number, since it uses less digits than its factorization.

342420103233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065538 (or 2065522 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 342420103233 its reverse (332301024243), we get a palindrome (674721127476).

The spelling of 342420103233 in words is "three hundred forty-two billion, four hundred twenty million, one hundred three thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 109 117 169 327 507 981 1417 1521 4251 12753 18421 55263 165789 2065397 6196191 18588573 26850161 80550483 225128273 241651449 349052093 675384819 1047156279 2026154457 2926667549 3141468837 8780002647 26340007941 38046678137 114140034411 342420103233