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22120202101011 = 3721726112767211
BaseRepresentation
bin1010000011110010000101…
…10010011110000100010011
32220022200002220202202120220
411001321002302132010103
510344404133214213021
6115013514111204123
74442063141360100
oct501710262360423
986280086682526
1022120202101011
117059141460473
122593062b16643
13c45c06873b61
145668a2c21aa7
152855e593acc6
hex141e42c9e113

22120202101011 has 144 divisors (see below), whose sum is σ = 37335476662272. Its totient is φ = 11609242444800.

The previous prime is 22120202100989. The next prime is 22120202101069. The reversal of 22120202101011 is 11010120202122.

It is not a de Polignac number, because 22120202101011 - 223 = 22120193712403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22120202101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 329082196 + ... + 329149406.

It is an arithmetic number, because the mean of its divisors is an integer number (259274143488).

Almost surely, 222120202101011 is an apocalyptic number.

22120202101011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22120202101011 is a deficient number, since it is larger than the sum of its proper divisors (15215274561261).

22120202101011 is a wasteful number, since it uses less digits than its factorization.

22120202101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67450 (or 67426 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22120202101011 its reverse (11010120202122), we get a palindrome (33130322303133).

The spelling of 22120202101011 in words is "twenty-two trillion, one hundred twenty billion, two hundred two million, one hundred one thousand, eleven".

Divisors: 1 3 7 17 21 49 51 61 119 127 147 183 289 357 381 427 833 867 889 1037 1281 2023 2159 2499 2667 2989 3111 6069 6223 6477 7259 7747 8967 14161 15113 17629 18669 21777 23241 36703 42483 45339 50813 52887 54229 67211 105791 110109 123403 131699 152439 162687 201633 256921 317373 370209 379603 395097 470477 770763 863821 921893 1138809 1142587 1411431 1798447 2238883 2591463 2765679 3293339 3427761 4099871 5395341 6453251 6716649 7998109 8535797 9880017 12299613 15672181 19359753 19423979 23994327 25607391 28699097 47016543 55986763 58271937 59750579 69697807 86097291 109705267 135967853 145108549 167960289 179251737 200893679 209093421 329115801 407903559 418254053 435325647 487884649 520683617 602681037 951774971 1015759843 1184862719 1254762159 1463653947 1562050851 2466845333 2855324913 3047279529 3415192543 3554588157 3644785319 7110318901 7400535999 8294039033 8851621489 10245577629 10934355957 17267917331 21330956703 24882117099 25513497233 26554864467 51803751993 58058273231 61961350423 76540491699 120875421317 150477565313 174174819693 185884051269 362626263951 433729452961 451432695939 1053342957191 1301188358883 3160028871573 7373400700337 22120202101011