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20330122210311 = 3173171241774933
BaseRepresentation
bin1001001111101011110011…
…01101100110110000000111
32122222112121011122100210210
410213311321231212300013
510131042042241212221
6111123310150450503
74165542244351344
oct447657155466007
978875534570723
1020330122210311
116528a57a89821
122344144963a33
13b461788c6714
14503da9b3b7cb
15253c76c5e276
hex127d79b66c07

20330122210311 has 64 divisors (see below), whose sum is σ = 30057315065856. Its totient is φ = 12165599846400.

The previous prime is 20330122210271. The next prime is 20330122210381. The reversal of 20330122210311 is 11301222103302.

It is not a de Polignac number, because 20330122210311 - 27 = 20330122210183 is a prime.

It is a super-2 number, since 2×203301222103112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330122210381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271273201 + ... + 271348133.

It is an arithmetic number, because the mean of its divisors is an integer number (469645547904).

Almost surely, 220330122210311 is an apocalyptic number.

20330122210311 is a deficient number, since it is larger than the sum of its proper divisors (9727192855545).

20330122210311 is a wasteful number, since it uses less digits than its factorization.

20330122210311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77472.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20330122210311 its reverse (11301222103302), we get a palindrome (31631344313613).

The spelling of 20330122210311 in words is "twenty trillion, three hundred thirty billion, one hundred twenty-two million, two hundred ten thousand, three hundred eleven".

Divisors: 1 3 17 31 51 71 93 213 527 1207 1581 2201 2417 3621 6603 7251 37417 41089 74927 74933 112251 123267 171607 224781 224799 514821 1273759 1273861 2322923 2917319 3821277 3821583 5319817 5320243 6968769 8751957 15959451 15960729 39489691 90436889 90444131 118469073 164927533 181113061 271310667 271332393 494782599 543339183 2803768061 3078922037 5614504891 8411304183 9236766111 12859027331 16843514673 38577081993 95446583147 218603464627 286339749441 398629847261 655810393881 1195889541783 6776707403437 20330122210311