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142022013012333 = 321723181280379549
BaseRepresentation
bin100000010010101100010011…
…101000101100100101101101
3200121212011122021110021121100
4200102230103220230211231
5122103342040312343313
61222020002335153313
741625515610226506
oct4022542350544555
9617764567407540
10142022013012333
1141286219926003
1213b18998975839
13613280670174c
14270dc8b547bad
1511644b9d18173
hex812b13a2c96d

142022013012333 has 96 divisors (see below), whose sum is σ = 227990462918400. Its totient is φ = 84735191439360.

The previous prime is 142022013012311. The next prime is 142022013012349. The reversal of 142022013012333 is 333210310220241.

142022013012333 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 2 + 20 + 1 + 301 + 2 + 333 = 666.

It is not a de Polignac number, because 142022013012333 - 214 = 142022012995949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142022013012297 and 142022013012306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142022013012133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1785300243 + ... + 1785379791.

It is an arithmetic number, because the mean of its divisors is an integer number (2374900655400).

Almost surely, 2142022013012333 is an apocalyptic number.

It is an amenable number.

142022013012333 is a deficient number, since it is larger than the sum of its proper divisors (85968449906067).

142022013012333 is a wasteful number, since it uses less digits than its factorization.

142022013012333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82579 (or 82576 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 142022013012333 its reverse (333210310220241), we get a palindrome (475232323232574).

The spelling of 142022013012333 in words is "one hundred forty-two trillion, twenty-two billion, thirteen million, twelve thousand, three hundred thirty-three".

Divisors: 1 3 9 17 23 51 69 153 181 207 391 543 1173 1629 2803 3077 3519 4163 8409 9231 12489 25227 27693 37467 47651 64469 70771 79549 142953 193407 212313 238647 428859 507343 580221 636939 715941 1095973 1352333 1522029 1829627 3287919 4056999 4566087 5488881 8624831 9863757 11668889 12170997 14398369 16466643 25874493 31103659 35006667 43195107 77623479 93310977 105020001 129585321 198371113 222975847 244772273 279932931 331162487 595113339 668927541 734316819 993487461 1785340017 2006782623 2202950457 2980462383 3790589399 5128444481 5629762279 11371768197 15385333443 16889286837 34115304591 40358628307 46156000329 50667860511 87183556177 121075884921 261550668531 363227654763 686096681219 784652005593 928248451061 2058290043657 2784745353183 6174870130971 8354236059549 15780223668037 47340671004111 142022013012333