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11221122105 = 3352941531319
BaseRepresentation
bin10100111001101010…
…01011110000111001
31001222000112001202000
422130311023300321
5140440101401410
65053243331213
7545032651464
oct123465136071
931860461660
1011221122105
114839038136
122211b20b09
13109a998a2b
147863d02db
1545a1bbdc0
hex29cd4bc39

11221122105 has 128 divisors (see below), whose sum is σ = 21555072000. Its totient is φ = 5526743040.

The previous prime is 11221122103. The next prime is 11221122191. The reversal of 11221122105 is 50122112211.

It is not a de Polignac number, because 11221122105 - 21 = 11221122103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11221122103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8506636 + ... + 8507954.

It is an arithmetic number, because the mean of its divisors is an integer number (168399000).

Almost surely, 211221122105 is an apocalyptic number.

11221122105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11221122105 is a deficient number, since it is larger than the sum of its proper divisors (10333949895).

11221122105 is a wasteful number, since it uses less digits than its factorization.

11221122105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11221122105 its reverse (50122112211), we get a palindrome (61343234316).

The spelling of 11221122105 in words is "eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 27 29 41 45 53 87 123 135 145 159 205 261 265 369 435 477 615 783 795 1107 1189 1305 1319 1431 1537 1845 2173 2385 3567 3915 3957 4611 5535 5945 6519 6595 7155 7685 10701 10865 11871 13833 17835 19557 19785 23055 32103 32595 35613 38251 41499 53505 54079 58671 59355 63017 69165 69907 97785 114753 160515 162237 178065 189051 191255 207495 209721 270395 293355 315085 344259 349535 486711 567153 573765 629163 811185 945255 1032777 1048605 1460133 1568291 1701459 1721295 1887489 2027303 2433555 2835765 2866187 3145815 4704873 5163885 6081909 7300665 7841455 8507295 8598561 9437445 10136515 14114619 14330935 18245727 23524365 25795683 30409545 42343857 42992805 54737181 70573095 77387049 83119423 91228635 128978415 211719285 249358269 273685905 386935245 415597115 748074807 1246791345 2244224421 3740374035 11221122105