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120022122100023 = 3211213431931021561
BaseRepresentation
bin11011010010100011010011…
…111100111111010100110111
3120201222000002001102011011100
4123102203103330333110313
5111212420301224200043
61103133222434141143
734165212034011453
oct3322432374772467
9521860061364140
10120022122100023
1135274106a56400
1211565111a217b3
1351c806465c6a0
14218d15d115663
15dd20b6851cd3
hex6d28d3f3f537

120022122100023 has 144 divisors (see below), whose sum is σ = 211077608533792. Its totient is φ = 65243849932800.

The previous prime is 120022122099989. The next prime is 120022122100061. The reversal of 120022122100023 is 320001221220021.

120022122100023 is a `hidden beast` number, since 1 + 200 + 221 + 221 + 0 + 0 + 0 + 23 = 666.

It is not a de Polignac number, because 120022122100023 - 212 = 120022122095927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120022122099969 and 120022122100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022122100823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116978163 + ... + 117999723.

Almost surely, 2120022122100023 is an apocalyptic number.

120022122100023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120022122100023 is a deficient number, since it is larger than the sum of its proper divisors (91055486433769).

120022122100023 is a wasteful number, since it uses less digits than its factorization.

120022122100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021838 (or 1021824 counting only the distinct ones).

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

Adding to 120022122100023 its reverse (320001221220021), we get a palindrome (440023343320044).

The spelling of 120022122100023 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty-two million, one hundred thousand, twenty-three".

Divisors: 1 3 9 11 13 33 39 43 99 117 121 129 143 193 363 387 429 473 559 579 1089 1287 1419 1573 1677 1737 2123 2509 4257 4719 5031 5203 6149 6369 7527 8299 14157 15609 18447 19107 22581 23353 24897 27599 46827 55341 67639 70059 74691 82797 91289 107887 202917 210177 248391 273867 303589 323661 608751 821601 910767 970983 1004179 1021561 1186757 2732301 3012537 3064683 3560271 9037611 9194049 10680813 11237171 13054327 13280293 33711513 39162981 39840879 43927123 101134539 117488943 119522637 123608881 131781369 146083223 197161273 370826643 395344107 438249669 483198353 571052599 591483819 1112479929 1314749007 1449595059 1606915453 1713157797 1774451457 2168774003 2563096549 4348785177 4820746359 5139473391 5315181883 6281578589 6506322009 7689289647 8477934739 14462239077 15945545649 18844735767 19518966027 23067868941 23856514033 25433804217 28194062039 47836636947 56534207301 69097364479 71569542099 76301412651 84582186117 93257282129 110213151607 207292093437 214708626297 253746558351 279771846387 310134682429 330639454821 621876280311 839315539161 930404047287 991918364463 1025830103419 1212344667677 2791212141861 3077490310257 3637034003031 9232470930771 10911102009093 13335791344447 40007374033341 120022122100023