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10001222011011 = 371141236597039
BaseRepresentation
bin1001000110001001011101…
…0010010000100010000011
31022102002220100122211210110
42101202113102100202003
52302330000313323021
633134255321002403
72051364414305520
oct221422722204203
938362810584713
1010001222011011
113206549103a80
121156379023403
1357715a38856a
142680c154c147
1512524c37a476
hex91897490883

10001222011011 has 96 divisors (see below), whose sum is σ = 17047874764800. Its totient is φ = 5066616787200.

The previous prime is 10001222010991. The next prime is 10001222011043. The reversal of 10001222011011 is 11011022210001.

It is not a de Polignac number, because 10001222011011 - 27 = 10001222010883 is a prime.

It is a super-2 number, since 2×100012220110112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001222011111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1420826430 + ... + 1420833468.

It is an arithmetic number, because the mean of its divisors is an integer number (177582028800).

Almost surely, 210001222011011 is an apocalyptic number.

10001222011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001222011011 is a deficient number, since it is larger than the sum of its proper divisors (7046652753789).

10001222011011 is a wasteful number, since it uses less digits than its factorization.

10001222011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10801 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001222011011 its reverse (11011022210001), we get a palindrome (21012244221012).

The spelling of 10001222011011 in words is "ten trillion, one billion, two hundred twenty-two million, eleven thousand, eleven".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 451 861 1353 1681 3157 3659 5043 7039 9471 10977 11767 18491 21117 25613 35301 40249 49273 55473 76839 77429 120747 129437 147819 150019 232287 281743 288599 388311 450057 542003 845229 865797 1050133 1626009 1650209 2020193 3150399 3174589 4950627 6060579 6150779 9523767 11551463 11832559 18452337 22222123 25755701 34654389 35497677 43055453 66666369 67658569 77267103 82827913 129166359 130158149 180289907 202975707 248483739 283312711 390474447 473609983 540869721 849938133 911107043 1055983741 1420829949 1983188977 2733321129 3167951223 5949566931 7391886187 11615821151 22175658561 34847463453 43295333381 81310748057 129886000143 243932244171 303067333667 476248667191 909202001001 1428746001573 3333740670337 10001222011011