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120223224033 = 31119434639631
BaseRepresentation
bin110111111110111011…
…1001101000011100001
3102111022120012120022020
41233331313031003201
53432204121132113
6131121344532053
711454146354223
oct1577567150341
9374276176266
10120223224033
1146a9396a6a0
121b372621029
13b44c5133b3
145b66c52413
1531d989b023
hex1bfddcd0e1

120223224033 has 64 divisors (see below), whose sum is σ = 188781035520. Its totient is φ = 67269787200.

The previous prime is 120223224019. The next prime is 120223224041. The reversal of 120223224033 is 330422322021.

It is not a de Polignac number, because 120223224033 - 29 = 120223223521 is a prime.

It is a super-3 number, since 3×1202232240333 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120223223994 and 120223224012.

It is not an unprimeable number, because it can be changed into a prime (120223224013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12478128 + ... + 12487758.

It is an arithmetic number, because the mean of its divisors is an integer number (2949703680).

Almost surely, 2120223224033 is an apocalyptic number.

It is an amenable number.

120223224033 is a deficient number, since it is larger than the sum of its proper divisors (68557811487).

120223224033 is a wasteful number, since it uses less digits than its factorization.

120223224033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 120223224033 its reverse (330422322021), we get a palindrome (450645546054).

The spelling of 120223224033 in words is "one hundred twenty billion, two hundred twenty-three million, two hundred twenty-four thousand, thirty-three".

Divisors: 1 3 11 19 33 43 57 129 209 463 473 627 817 1389 1419 2451 5093 8797 8987 9631 15279 19909 26391 26961 28893 59727 96767 105941 182989 218999 290301 317823 378271 414133 548967 656997 1134813 1242399 2012879 4160981 4459153 4555463 6038637 7868527 12482943 13377459 13666389 23605581 49050683 84723907 86553797 147152049 191743579 254171721 259661391 575230737 931962977 2109179369 2795888931 3643128001 6327538107 10929384003 40074408011 120223224033