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342102233121201 = 3473716306889419
BaseRepresentation
bin100110111001000111110001…
…0000101010000000110110001
31122212021122122211101002210000
41031302033202011100012301
5324320000333134334301
63211331332444100213
7132026033152324620
oct11562174205200661
91585248584332700
10342102233121201
119a005819012493
1232451855834669
13118b71435a0567
146069b9d2416b7
152983ce6853786
hex13723e21501b1

342102233121201 has 40 divisors (see below), whose sum is σ = 599832620425280. Its totient is φ = 190203558171552.

The previous prime is 342102233121199. The next prime is 342102233121329. The reversal of 342102233121201 is 102121332201243.

342102233121201 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 0 + 223 + 312 + 120 + 1 = 666.

It is not a de Polignac number, because 342102233121201 - 21 = 342102233121199 is a prime.

It is a super-3 number, since 3×3421022331212013 (a number of 45 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (342102233121401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8153423731 + ... + 8153465688.

It is an arithmetic number, because the mean of its divisors is an integer number (14995815510632).

Almost surely, 2342102233121201 is an apocalyptic number.

It is an amenable number.

342102233121201 is a deficient number, since it is larger than the sum of its proper divisors (257730387304079).

342102233121201 is a wasteful number, since it uses less digits than its factorization.

342102233121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16306889475 (or 16306889466 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 342102233121201 its reverse (102121332201243), we get a palindrome (444223565322444).

The spelling of 342102233121201 in words is "three hundred forty-two trillion, one hundred two billion, two hundred thirty-three million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 259 333 567 777 999 2331 2997 6993 20979 16306889419 48920668257 114148225933 146762004771 342444677799 440286014313 603354908503 1027334033397 1320858042939 1810064725509 3082002100191 4223484359521 5430194176527 9246006300573 12670453078563 16290582529581 38011359235689 48871747588743 114034077707067 342102233121201