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22120301103131 = 71121931190723251
BaseRepresentation
bin1010000011110010010001…
…01100001000100000011011
32220022200100211001120222002
411001321020230020200123
510344404334040300011
6115013532005151215
74442065453025030
oct501711054104033
986280324046862
1022120301103131
117059192330200
1225930900bb50b
13c45c212283aa
145668b2033387
152855ee494c3b
hex141e48b0881b

22120301103131 has 96 divisors (see below), whose sum is σ = 30210665103360. Its totient is φ = 15793687800000.

The previous prime is 22120301103101. The next prime is 22120301103151. The reversal of 22120301103131 is 13130110302122.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-22120301103131 is a prime.

It is a super-2 number, since 2×221203011031312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22120301103101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 951358256 + ... + 951381506.

It is an arithmetic number, because the mean of its divisors is an integer number (314694428160).

Almost surely, 222120301103131 is an apocalyptic number.

22120301103131 is a deficient number, since it is larger than the sum of its proper divisors (8090364000229).

22120301103131 is a wasteful number, since it uses less digits than its factorization.

22120301103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25237 (or 25226 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 22120301103131 its reverse (13130110302122), we get a palindrome (35250411405253).

The spelling of 22120301103131 in words is "twenty-two trillion, one hundred twenty billion, three hundred one million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 7 11 19 31 77 121 133 209 217 341 589 847 1463 1907 2299 2387 3751 4123 6479 13349 16093 20977 23251 26257 36233 45353 59117 71269 146839 162757 230747 253631 255761 398563 413819 441769 498883 650287 720781 1123223 1615229 1790327 2789941 2813371 3092383 4384193 4552009 4859459 5045467 7153157 7862561 7928591 12355453 13694839 19693597 30689351 34016213 44339657 50072099 53454049 55500137 86488171 87214501 95863873 135909983 150643229 310377599 374178343 487736227 610501507 842453483 951369881 1054502603 1374529367 1657075519 3414153589 5365098497 5897174381 9266988313 9621705569 11599528633 15119823037 26116057973 37555689479 64868918191 101936871443 105838761259 166318053407 182812405811 287276637703 713558100101 1164226373849 2010936463921 3160043014733 22120301103131