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342120022101 = 321113220448271
BaseRepresentation
bin1001111101001111111…
…00010100000001010101
31012201001221011211211200
410332213330110001111
521101130211201401
6421100123223113
733501024130524
oct4764774240125
91181057154750
10342120022101
11122101919320
125637b377a99
132635318c500
14127b70cc4bb
158d75365686
hex4fa7f14055

342120022101 has 36 divisors (see below), whose sum is σ = 583757269056. Its totient is φ = 191395807200.

The previous prime is 342120022093. The next prime is 342120022159. The reversal of 342120022101 is 101220021243.

It is a happy number.

342120022101 is a `hidden beast` number, since 3 + 421 + 20 + 0 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 342120022101 - 23 = 342120022093 is a prime.

It is a super-2 number, since 2×3421200221012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342120022001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10207405 + ... + 10240866.

It is an arithmetic number, because the mean of its divisors is an integer number (16215479696).

Almost surely, 2342120022101 is an apocalyptic number.

It is an amenable number.

342120022101 is a deficient number, since it is larger than the sum of its proper divisors (241637246955).

342120022101 is a wasteful number, since it uses less digits than its factorization.

342120022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20448314 (or 20448298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 342120022101 its reverse (101220021243), we get a palindrome (443340043344).

The spelling of 342120022101 in words is "three hundred forty-two billion, one hundred twenty million, twenty-two thousand, one hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 429 507 1287 1521 1859 5577 16731 20448271 61344813 184034439 224930981 265827523 674792943 797482569 2024378829 2392447707 2924102753 3455757799 8772308259 10367273397 26316924777 31101820191 38013335789 114040007367 342120022101