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34342202214231 = 31371494791170751
BaseRepresentation
bin1111100111011111010101…
…10000111000011101010111
311111121002020010020002122220
413303233222300320131113
514000130312231323411
6201012331230153423
710143066533256312
oct763575260703527
9144532203202586
1034342202214231
11aa4049a93a11a
123a278ba052873
1316215c0444282
1486a258691979
153e84bd432b06
hex1f3beac38757

34342202214231 has 32 divisors (see below), whose sum is σ = 46530367488000. Its totient is φ = 22528002336000.

The previous prime is 34342202214217. The next prime is 34342202214233. The reversal of 34342202214231 is 13241220224343.

It is a happy number.

It is not a de Polignac number, because 34342202214231 - 214 = 34342202197847 is a prime.

It is a super-2 number, since 2×343422022142312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34342202214192 and 34342202214201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342202214233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28748106 + ... + 29918856.

It is an arithmetic number, because the mean of its divisors is an integer number (1454073984000).

Almost surely, 234342202214231 is an apocalyptic number.

34342202214231 is a deficient number, since it is larger than the sum of its proper divisors (12188165273769).

34342202214231 is a wasteful number, since it uses less digits than its factorization.

34342202214231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171519.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34342202214231 its reverse (13241220224343), we get a palindrome (47583422438574).

The spelling of 34342202214231 in words is "thirty-four trillion, three hundred forty-two billion, two hundred two million, two hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 3 137 149 411 447 479 1437 20413 61239 65623 71371 196869 214113 1170751 3512253 9777827 29333481 160392887 174441899 481178661 523325697 560789729 1682369187 23898540163 71695620489 76828192873 83557669621 230484578619 250673008863 11447400738077 34342202214231